3997205760 has 72 divisors (see below), whose sum is σ = 12766088160. Its totient is φ = 1065920512.

The previous prime is 3997205717. The next prime is 3997205803. The reversal of 3997205760 is 675027993.

It is an interprime number because it is at equal distance from previous prime (3997205717) and next prime (3997205803).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516630 + ... + 524309.

It is an arithmetic number, because the mean of its divisors is an integer number (177306780).

Almost surely, 2^3997205760 is an apocalyptic number.

3997205760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3997205760 is an abundant number, since it is smaller than the sum of its proper divisors (8768882400).

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

3997205760 is a wasteful number, since it uses less digits than its factorization.

3997205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040963 (or 1040949 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 3997205760 is about 63223.4589373280. The cubic root of 3997205760 is about 1587.0313342385.

The spelling of 3997205760 in words is "three billion, nine hundred ninety-seven million, two hundred five thousand, seven hundred sixty".