3946151664 has 120 divisors (see below), whose sum is σ = 13592345312. Its totient is φ = 1040739840.

The previous prime is 3946151663. The next prime is 3946151669. The reversal of 3946151664 is 4661516493.

3946151664 is a `hidden beast` number, since 39 + 46 + 1 + 516 + 64 = 666.

It is a super-2 number, since 2×3946151664² = 31144225910579937792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946151663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137467 + ... + 163674.

Almost surely, 2^3946151664 is an apocalyptic number.

It is an amenable number.

3946151664 is an abundant number, since it is smaller than the sum of its proper divisors (9646193648).

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

3946151664 is a wasteful number, since it uses less digits than its factorization.

3946151664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301175 (or 301166 counting only the distinct ones).

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

The square root of 3946151664 is about 62818.4022719458. The cubic root of 3946151664 is about 1580.2456040781.

It can be divided in two parts, 39461 and 51664, that added together give a cube (91125 = 45³).

The spelling of 3946151664 in words is "three billion, nine hundred forty-six million, one hundred fifty-one thousand, six hundred sixty-four".