3915566640 has 120 divisors (see below), whose sum is σ = 13162276608. Its totient is φ = 1043159040.

The previous prime is 3915566623. The next prime is 3915566719. The reversal of 3915566640 is 466655193.

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

It is a super-2 number, since 2×3915566640² = 30663324224561779200, which contains 22 as substring.

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

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, 1057272 + ... + 1060968.

Almost surely, 2^3915566640 is an apocalyptic number.

3915566640 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 3915566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581138304).

3915566640 is an abundant number, since it is smaller than the sum of its proper divisors (9246709968).

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

3915566640 is a wasteful number, since it uses less digits than its factorization.

3915566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3915566640 is about 62574.4887314311. The cubic root of 3915566640 is about 1576.1523962159.

The spelling of 3915566640 in words is "three billion, nine hundred fifteen million, five hundred sixty-six thousand, six hundred forty".