3977142624 has 576 divisors, whose sum is σ = 15043392000. Its totient is φ = 987614208.

The previous prime is 3977142619. The next prime is 3977142647. The reversal of 3977142624 is 4262417793.

3977142624 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 14 + 2 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3977142624.

It is a congruent number.

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, 24399567 + ... + 24399729.

It is an arithmetic number, because the mean of its divisors is an integer number (26117000).

Almost surely, 2^3977142624 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 3977142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521696000).

3977142624 is an abundant number, since it is smaller than the sum of its proper divisors (11066249376).

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

3977142624 is a wasteful number, since it uses less digits than its factorization.

3977142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 3977142624 is about 63064.5908890242. The cubic root of 3977142624 is about 1584.3716223263.

The spelling of 3977142624 in words is "three billion, nine hundred seventy-seven million, one hundred forty-two thousand, six hundred twenty-four".