38402320320 has 1120 divisors, whose sum is σ = 171339345408. Its totient is φ = 7981535232.

The previous prime is 38402320267. The next prime is 38402320361. The reversal of 38402320320 is 2302320483.

38402320320 is a `hidden beast` number, since 38 + 402 + 3 + 203 + 20 = 666.

38402320320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 573168927 + ... + 573168993.

Almost surely, 2^38402320320 is an apocalyptic number.

38402320320 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 38402320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85669672704).

38402320320 is an abundant number, since it is smaller than the sum of its proper divisors (132937025088).

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

38402320320 is an frugal number, since it uses more digits than its factorization.

38402320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 38402320320 in words is "thirty-eight billion, four hundred two million, three hundred twenty thousand, three hundred twenty".