3792340800 has 252 divisors, whose sum is σ = 13735956780. Its totient is φ = 992010240.

The previous prime is 3792340733. The next prime is 3792340801. The reversal of 3792340800 is 80432973.

It can be written as a sum of positive squares in 6 ways, for example, as 131606784 + 3660734016 = 11472^2 + 60504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792340801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760716 + ... + 765684.

It is an arithmetic number, because the mean of its divisors is an integer number (54507765).

Almost surely, 2^3792340800 is an apocalyptic number.

3792340800 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 3792340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867978390).

3792340800 is an abundant number, since it is smaller than the sum of its proper divisors (9943615980).

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

3792340800 is a wasteful number, since it uses less digits than its factorization.

3792340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3792340800 is about 61581.9843785502. The cubic root of 3792340800 is about 1559.4416147515.

The spelling of 3792340800 in words is "three billion, seven hundred ninety-two million, three hundred forty thousand, eight hundred".