3997785792 has 672 divisors, whose sum is σ = 15013261312. Its totient is φ = 912384000.

The previous prime is 3997785769. The next prime is 3997785851. The reversal of 3997785792 is 2975877993.

3997785792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65537442 + ... + 65537502.

Almost surely, 2^3997785792 is an apocalyptic number.

3997785792 is a gapful number since it is divisible by the number (32) 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 3997785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506630656).

3997785792 is an abundant number, since it is smaller than the sum of its proper divisors (11015475520).

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

3997785792 is a wasteful number, since it uses less digits than its factorization.

3997785792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 66.

The square root of 3997785792 is about 63228.0459290021. The cubic root of 3997785792 is about 1587.1080948969.

The spelling of 3997785792 in words is "three billion, nine hundred ninety-seven million, seven hundred eighty-five thousand, seven hundred ninety-two".