3907885440 has 256 divisors, whose sum is σ = 12796185600. Its totient is φ = 1014128640.

The previous prime is 3907885433. The next prime is 3907885481. The reversal of 3907885440 is 445887093.

It is a super-2 number, since 2×3907885440² = 30543137224327987200, which contains 22 as substring.

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 3907885440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14858749 + ... + 14859011.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 2^3907885440 is an apocalyptic number.

3907885440 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 3907885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398092800).

3907885440 is an abundant number, since it is smaller than the sum of its proper divisors (8888300160).

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

3907885440 is a wasteful number, since it uses less digits than its factorization.

3907885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3907885440 is about 62513.0821508586. The cubic root of 3907885440 is about 1575.1210710659.

The spelling of 3907885440 in words is "three billion, nine hundred seven million, eight hundred eighty-five thousand, four hundred forty".