3790962720 has 288 divisors, whose sum is σ = 13461686784. Its totient is φ = 970444800.

The previous prime is 3790962709. The next prime is 3790962767. The reversal of 3790962720 is 272690973.

It is a happy number.

3790962720 is a `hidden beast` number, since 379 + 0 + 9 + 6 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7276060 + ... + 7276580.

It is an arithmetic number, because the mean of its divisors is an integer number (46741968).

Almost surely, 2^3790962720 is an apocalyptic number.

3790962720 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 3790962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730843392).

3790962720 is an abundant number, since it is smaller than the sum of its proper divisors (9670724064).

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

3790962720 is a wasteful number, since it uses less digits than its factorization.

3790962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3790962720 is about 61570.7943752555. The cubic root of 3790962720 is about 1559.2526992702.

The spelling of 3790962720 in words is "three billion, seven hundred ninety million, nine hundred sixty-two thousand, seven hundred twenty".