3791292960 has 768 divisors, whose sum is σ = 15789634560. Its totient is φ = 743178240.

The previous prime is 3791292917. The next prime is 3791292979. The reversal of 3791292960 is 692921973.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51935484 + ... + 51935556.

It is an arithmetic number, because the mean of its divisors is an integer number (20559420).

Almost surely, 2^3791292960 is an apocalyptic number.

3791292960 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 3791292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894817280).

3791292960 is an abundant number, since it is smaller than the sum of its proper divisors (11998341600).

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

3791292960 is a wasteful number, since it uses less digits than its factorization.

3791292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 3791292960 is about 61573.4761078177. The cubic root of 3791292960 is about 1559.2979747229.

The spelling of 3791292960 in words is "three billion, seven hundred ninety-one million, two hundred ninety-two thousand, nine hundred sixty".