3722500800 has 210 divisors, whose sum is σ = 13683452948. Its totient is φ = 992632320.

The previous prime is 3722500799. The next prime is 3722500807. The reversal of 3722500800 is 80052273.

3722500800 is digitally balanced in base 2, because in such base 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3722500807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 115239 + ... + 143961.

Almost surely, 2^3722500800 is an apocalyptic number.

3722500800 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 3722500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841726474).

3722500800 is an abundant number, since it is smaller than the sum of its proper divisors (9960952148).

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

3722500800 is a wasteful number, since it uses less digits than its factorization.

3722500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28757 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3722500800 is about 61012.3003991818. The cubic root of 3722500800 is about 1549.8093140378.

The spelling of 3722500800 in words is "three billion, seven hundred twenty-two million, five hundred thousand, eight hundred".