3790437952 has 112 divisors (see below), whose sum is σ = 9063825408. Its totient is φ = 1538357760.

The previous prime is 3790437923. The next prime is 3790437961. The reversal of 3790437952 is 2597340973.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3790437896 and 3790437905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649833 + ... + 655639.

Almost surely, 2^3790437952 is an apocalyptic number.

3790437952 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 3790437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531912704).

3790437952 is an abundant number, since it is smaller than the sum of its proper divisors (5273387456).

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

3790437952 is a wasteful number, since it uses less digits than its factorization.

3790437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

The square root of 3790437952 is about 61566.5327267989. The cubic root of 3790437952 is about 1559.1807488855.

The spelling of 3790437952 in words is "three billion, seven hundred ninety million, four hundred thirty-seven thousand, nine hundred fifty-two".