3758394400 has 72 divisors (see below), whose sum is σ = 9330809040. Its totient is φ = 1477858560.

The previous prime is 3758394397. The next prime is 3758394407. The reversal of 3758394400 is 44938573.

It is not an unprimeable number, because it can be changed into a prime (3758394407) 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, 7387 + ... + 87013.

It is an arithmetic number, because the mean of its divisors is an integer number (129594570).

Almost surely, 2^3758394400 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 3758394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665404520).

3758394400 is an abundant number, since it is smaller than the sum of its proper divisors (5572414640).

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

3758394400 is a wasteful number, since it uses less digits than its factorization.

3758394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79706 (or 79693 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 3758394400 is about 61305.7452446343. The cubic root of 3758394400 is about 1554.7746491605.

The spelling of 3758394400 in words is "three billion, seven hundred fifty-eight million, three hundred ninety-four thousand, four hundred".