3916537920 has 392 divisors, whose sum is σ = 14205362496. Its totient is φ = 1027924992.

The previous prime is 3916537913. The next prime is 3916537921. The reversal of 3916537920 is 297356193.

3916537920 is a `hidden beast` number, since 3 + 91 + 6 + 537 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3916537921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24027759 + ... + 24027921.

Almost surely, 2^3916537920 is an apocalyptic number.

3916537920 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 3916537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102681248).

3916537920 is an abundant number, since it is smaller than the sum of its proper divisors (10288824576).

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

3916537920 is a wasteful number, since it uses less digits than its factorization.

3916537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3916537920 is about 62582.2492404995. The cubic root of 3916537920 is about 1576.2827101547.

The spelling of 3916537920 in words is "three billion, nine hundred sixteen million, five hundred thirty-seven thousand, nine hundred twenty".