3970058400 has 1296 divisors, whose sum is σ = 18951287040. Its totient is φ = 798336000.

The previous prime is 3970058387. The next prime is 3970058419. The reversal of 3970058400 is 48500793.

3970058400 is a `hidden beast` number, since 3 + 9 + 70 + 0 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×3970058400² = 31522727398821120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 128066385 + ... + 128066415.

Almost surely, 2^3970058400 is an apocalyptic number.

3970058400 is a gapful number since it is divisible by the number (30) 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 3970058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475643520).

3970058400 is an abundant number, since it is smaller than the sum of its proper divisors (14981228640).

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

3970058400 is a wasteful number, since it uses less digits than its factorization.

3970058400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3970058400 is about 63008.3994400747. The cubic root of 3970058400 is about 1583.4303507188.

The spelling of 3970058400 in words is "three billion, nine hundred seventy million, fifty-eight thousand, four hundred".