3930787440 has 120 divisors (see below), whose sum is σ = 13689884208. Its totient is φ = 1048204800.

The previous prime is 3930787403. The next prime is 3930787457. The reversal of 3930787440 is 447870393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81661 + ... + 120540.

Almost surely, 2^3930787440 is an apocalyptic number.

3930787440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3930787440 is an abundant number, since it is smaller than the sum of its proper divisors (9759096768).

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

3930787440 is a wasteful number, since it uses less digits than its factorization.

3930787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202229 (or 202211 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3930787440 is about 62695.9922164089. The cubic root of 3930787440 is about 1578.1920568912.

The spelling of 3930787440 in words is "three billion, nine hundred thirty million, seven hundred eighty-seven thousand, four hundred forty".