3653411040 has 240 divisors, whose sum is σ = 12960319680. Its totient is φ = 969200640.

The previous prime is 3653411017. The next prime is 3653411051. The reversal of 3653411040 is 401143563.

3653411040 is a `hidden beast` number, since 3 + 653 + 4 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3653410995 and 3653411013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2967225 + ... + 2968455.

It is an arithmetic number, because the mean of its divisors is an integer number (54001332).

Almost surely, 2^3653411040 is an apocalyptic number.

3653411040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480159840).

3653411040 is an abundant number, since it is smaller than the sum of its proper divisors (9306908640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3653411040 is a wasteful number, since it uses less digits than its factorization.

3653411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3653411040 is about 60443.4532435069. The cubic root of 3653411040 is about 1540.1612019930.

It can be divided in two parts, 36534 and 11040, that added together give a palindrome (47574).

The spelling of 3653411040 in words is "three billion, six hundred fifty-three million, four hundred eleven thousand, forty".