3962687616 has 256 divisors, whose sum is σ = 12046608000. Its totient is φ = 1281982464.

The previous prime is 3962687611. The next prime is 3962687627. The reversal of 3962687616 is 6167862693.

3962687616 is a `hidden beast` number, since 3 + 9 + 626 + 8 + 7 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3962687611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28508475 + ... + 28508613.

Almost surely, 2^3962687616 is an apocalyptic number.

3962687616 is a gapful number since it is divisible by the number (36) 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 3962687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023304000).

3962687616 is an abundant number, since it is smaller than the sum of its proper divisors (8083920384).

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

3962687616 is a wasteful number, since it uses less digits than its factorization.

3962687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3962687616 is about 62949.8817790788. The cubic root of 3962687616 is about 1582.4498148996.

The spelling of 3962687616 in words is "three billion, nine hundred sixty-two million, six hundred eighty-seven thousand, six hundred sixteen".