38192394240 has 2080 divisors, whose sum is σ = 191815658496. Its totient is φ = 7007109120.

The previous prime is 38192394199. The next prime is 38192394257. The reversal of 38192394240 is 4249329183.

38192394240 is a `hidden beast` number, since 3 + 8 + 19 + 2 + 394 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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 159 ways as a sum of consecutive naturals, for example, 1660538869 + ... + 1660538891.

Almost surely, 2^38192394240 is an apocalyptic number.

38192394240 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 38192394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95907829248).

38192394240 is an abundant number, since it is smaller than the sum of its proper divisors (153623264256).

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

38192394240 is a wasteful number, since it uses less digits than its factorization.

38192394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38192394240 in words is "thirty-eight billion, one hundred ninety-two million, three hundred ninety-four thousand, two hundred forty".