3801390400 has 126 divisors (see below), whose sum is σ = 9937594298. Its totient is φ = 1430937600.

The previous prime is 3801390379. The next prime is 3801390413. The reversal of 3801390400 is 40931083.

It can be written as a sum of positive squares in 9 ways, for example, as 3873024 + 3797517376 = 1968^2 + 61624^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 458290 + ... + 466510.

Almost surely, 2^3801390400 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 3801390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968797149).

3801390400 is an abundant number, since it is smaller than the sum of its proper divisors (6136203898).

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

3801390400 is a wasteful number, since it uses less digits than its factorization.

3801390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3801390400 is about 61655.4166314688. The cubic root of 3801390400 is about 1560.6810526171.

The spelling of 3801390400 in words is "three billion, eight hundred one million, three hundred ninety thousand, four hundred".