3995409672 has 256 divisors, whose sum is σ = 12089088000. Its totient is φ = 1219325184.

The previous prime is 3995409653. The next prime is 3995409689. The reversal of 3995409672 is 2769045993.

3995409672 is a `hidden beast` number, since 3 + 9 + 9 + 540 + 96 + 7 + 2 = 666.

It is a super-2 number, since 2×3995409672² = 31926596894222295168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12603658 + ... + 12603974.

It is an arithmetic number, because the mean of its divisors is an integer number (47223000).

Almost surely, 2^3995409672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3995409672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044544000).

3995409672 is an abundant number, since it is smaller than the sum of its proper divisors (8093678328).

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

3995409672 is a wasteful number, since it uses less digits than its factorization.

3995409672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 3995409672 is about 63209.2530568112. The cubic root of 3995409672 is about 1586.7935952488.

The spelling of 3995409672 in words is "three billion, nine hundred ninety-five million, four hundred nine thousand, six hundred seventy-two".