3915636480 has 432 divisors, whose sum is σ = 15764636160. Its totient is φ = 878764032.

The previous prime is 3915636409. The next prime is 3915636499. The reversal of 3915636480 is 846365193.

3915636480 is a `hidden beast` number, since 3 + 9 + 1 + 5 + 636 + 4 + 8 + 0 = 666.

3915636480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 4757349 + ... + 4758171.

Almost surely, 2^3915636480 is an apocalyptic number.

3915636480 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 3915636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882318080).

3915636480 is an abundant number, since it is smaller than the sum of its proper divisors (11848999680).

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

3915636480 is a wasteful number, since it uses less digits than its factorization.

3915636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3915636480 is about 62575.0467838419. The cubic root of 3915636480 is about 1576.1617671737.

The spelling of 3915636480 in words is "three billion, nine hundred fifteen million, six hundred thirty-six thousand, four hundred eighty".