38850212003400 has 576 divisors, whose sum is σ = 149982729062400. Its totient is φ = 8828276244480.

The previous prime is 38850212003359. The next prime is 38850212003431. The reversal of 38850212003400 is 430021205883.

38850212003400 is a `hidden beast` number, since 3 + 88 + 50 + 2 + 120 + 0 + 3 + 400 = 666.

It is a super-2 number, since 2×38850212003400² (a number of 28 digits) contains 22 as substring.

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, 1498895641 + ... + 1498921559.

It is an arithmetic number, because the mean of its divisors is an integer number (260386682400).

Almost surely, 2^{38850212003400} is an apocalyptic number.

38850212003400 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 38850212003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74991364531200).

38850212003400 is an abundant number, since it is smaller than the sum of its proper divisors (111132517059000).

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

38850212003400 is a wasteful number, since it uses less digits than its factorization.

38850212003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26638 (or 26626 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38850212003400 in words is "thirty-eight trillion, eight hundred fifty billion, two hundred twelve million, three thousand, four hundred".