3682788240 has 80 divisors (see below), whose sum is σ = 12017534400. Its totient is φ = 930387456.

The previous prime is 3682788173. The next prime is 3682788257. The reversal of 3682788240 is 428872863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3682788240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399255 + ... + 408374.

It is an arithmetic number, because the mean of its divisors is an integer number (150219180).

Almost surely, 2^3682788240 is an apocalyptic number.

3682788240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3682788240 is an abundant number, since it is smaller than the sum of its proper divisors (8334746160).

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

3682788240 is a wasteful number, since it uses less digits than its factorization.

3682788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807664 (or 807658 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 3682788240 is about 60685.9805886005. The cubic root of 3682788240 is about 1544.2783487896.

The spelling of 3682788240 in words is "three billion, six hundred eighty-two million, seven hundred eighty-eight thousand, two hundred forty".