38030428800 has 1152 divisors, whose sum is σ = 174610699200. Its totient is φ = 8012390400.

The previous prime is 38030428783. The next prime is 38030428879. The reversal of 38030428800 is 882403083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55036455 + ... + 55037145.

Almost surely, 2^38030428800 is an apocalyptic number.

38030428800 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 38030428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87305349600).

38030428800 is an abundant number, since it is smaller than the sum of its proper divisors (136580270400).

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

38030428800 is a wasteful number, since it uses less digits than its factorization.

38030428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38030428800 in words is "thirty-eight billion, thirty million, four hundred twenty-eight thousand, eight hundred".