3790972800 has 768 divisors, whose sum is σ = 15367320000. Its totient is φ = 908328960.

The previous prime is 3790972789. The next prime is 3790972807. The reversal of 3790972800 is 82790973.

3790972800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3790972807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42595156 + ... + 42595244.

Almost surely, 2^3790972800 is an apocalyptic number.

3790972800 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 3790972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683660000).

3790972800 is an abundant number, since it is smaller than the sum of its proper divisors (11576347200).

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

3790972800 is a wasteful number, since it uses less digits than its factorization.

3790972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3790972800 is about 61570.8762321928. The cubic root of 3790972800 is about 1559.2540812634.

The spelling of 3790972800 in words is "three billion, seven hundred ninety million, nine hundred seventy-two thousand, eight hundred".