3758063040 has 336 divisors, whose sum is σ = 13846210560. Its totient is φ = 969200640.

The previous prime is 3758063033. The next prime is 3758063053. The reversal of 3758063040 is 403608573.

It is a happy number.

3758063040 is a `hidden beast` number, since 3 + 7 + 580 + 6 + 30 + 40 = 666.

It is a super-2 number, since 2×3758063040² = 28246075625228083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3758062986 and 3758063004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2409781 + ... + 2411339.

It is an arithmetic number, because the mean of its divisors is an integer number (41208960).

Almost surely, 2^3758063040 is an apocalyptic number.

3758063040 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 3758063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923105280).

3758063040 is an abundant number, since it is smaller than the sum of its proper divisors (10088147520).

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

3758063040 is a wasteful number, since it uses less digits than its factorization.

3758063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3758063040 is about 61303.0426651076. The cubic root of 3758063040 is about 1554.7289554223.

The spelling of 3758063040 in words is "three billion, seven hundred fifty-eight million, sixty-three thousand, forty".