38753406720 has 1008 divisors, whose sum is σ = 168897355200. Its totient is φ = 8312979456.

The previous prime is 38753406719. The next prime is 38753406733. The reversal of 38753406720 is 2760435783.

38753406720 is a `hidden beast` number, since 38 + 7 + 534 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×38753406720³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 111041106 + ... + 111041454.

It is an arithmetic number, because the mean of its divisors is an integer number (167556900).

Almost surely, 2^38753406720 is an apocalyptic number.

38753406720 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 38753406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84448677600).

38753406720 is an abundant number, since it is smaller than the sum of its proper divisors (130143948480).

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

38753406720 is an equidigital number, since it uses as much as digits as its factorization.

38753406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 38753406720 in words is "thirty-eight billion, seven hundred fifty-three million, four hundred six thousand, seven hundred twenty".