3038411113920 has 3136 divisors, whose sum is σ = 14327960371200. Its totient is φ = 608370352128.

The previous prime is 3038411113877. The next prime is 3038411113931. The reversal of 3038411113920 is 293111148303.

3038411113920 is a `hidden beast` number, since 30 + 384 + 111 + 139 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 23924496897 + ... + 23924497023.

Almost surely, 2^{3038411113920} is an apocalyptic number.

3038411113920 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 3038411113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163980185600).

3038411113920 is an abundant number, since it is smaller than the sum of its proper divisors (11289549257280).

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

3038411113920 is a wasteful number, since it uses less digits than its factorization.

3038411113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 3038411113920 in words is "three trillion, thirty-eight billion, four hundred eleven million, one hundred thirteen thousand, nine hundred twenty".