38700348400 has 120 divisors (see below), whose sum is σ = 106516932480. Its totient is φ = 13236622080.

The previous prime is 38700348391. The next prime is 38700348403. The reversal of 38700348400 is 484300783.

It is a super-4 number, since 4×38700348400⁴ (a number of 43 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38700348400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38700348403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156707 + ... + 1189693.

It is an arithmetic number, because the mean of its divisors is an integer number (887641104).

Almost surely, 2^38700348400 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 38700348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258466240).

38700348400 is an abundant number, since it is smaller than the sum of its proper divisors (67816584080).

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

38700348400 is a wasteful number, since it uses less digits than its factorization.

38700348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33431 (or 33420 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 38700348400 in words is "thirty-eight billion, seven hundred million, three hundred forty-eight thousand, four hundred".