3760422400 has 120 divisors (see below), whose sum is σ = 10647956880. Its totient is φ = 1289256960.

The previous prime is 3760422397. The next prime is 3760422401. The reversal of 3760422400 is 42240673.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3760422401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68616 + ... + 110584.

It is an arithmetic number, because the mean of its divisors is an integer number (88732974).

Almost surely, 2^3760422400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323978440).

3760422400 is an abundant number, since it is smaller than the sum of its proper divisors (6887534480).

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

3760422400 is an equidigital number, since it uses as much as digits as its factorization.

3760422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42004 (or 41983 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 3760422400 is about 61322.2830625214. The cubic root of 3760422400 is about 1555.0542469263.

The spelling of 3760422400 in words is "three billion, seven hundred sixty million, four hundred twenty-two thousand, four hundred".