38378733120 has 1120 divisors, whose sum is σ = 171752410368. Its totient is φ = 7918829568.

The previous prime is 38378733079. The next prime is 38378733131. The reversal of 38378733120 is 2133787383.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125012007 + ... + 125012313.

Almost surely, 2^38378733120 is an apocalyptic number.

38378733120 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 38378733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85876205184).

38378733120 is an abundant number, since it is smaller than the sum of its proper divisors (133373677248).

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

38378733120 is a wasteful number, since it uses less digits than its factorization.

38378733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 38378733120 in words is "thirty-eight billion, three hundred seventy-eight million, seven hundred thirty-three thousand, one hundred twenty".