3038381200400 has 360 divisors, whose sum is σ = 9177919216200. Its totient is φ = 958103838720.

The previous prime is 3038381200357. The next prime is 3038381200417. The reversal of 3038381200400 is 40021838303.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1173703557376 + 1864677643024 = 1083376^2 + 1365532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70558076 + ... + 70601124.

It is an arithmetic number, because the mean of its divisors is an integer number (25494220045).

Almost surely, 2^{3038381200400} 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 3038381200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588959608100).

3038381200400 is an abundant number, since it is smaller than the sum of its proper divisors (6139538015800).

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

3038381200400 is a wasteful number, since it uses less digits than its factorization.

3038381200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43371 (or 43353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 3038381200400 in words is "three trillion, thirty-eight billion, three hundred eighty-one million, two hundred thousand, four hundred".