38392252416 has 288 divisors, whose sum is σ = 133402651200. Its totient is φ = 10391224320.

The previous prime is 38392252373. The next prime is 38392252421. The reversal of 38392252416 is 61425229383.

38392252416 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 225 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443626 + ... + 2459286.

It is an arithmetic number, because the mean of its divisors is an integer number (463203650).

Almost surely, 2^38392252416 is an apocalyptic number.

38392252416 is a gapful number since it is divisible by the number (36) 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 38392252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66701325600).

38392252416 is an abundant number, since it is smaller than the sum of its proper divisors (95010398784).

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

38392252416 is a wasteful number, since it uses less digits than its factorization.

38392252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715 (or 15692 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 38392252416 in words is "thirty-eight billion, three hundred ninety-two million, two hundred fifty-two thousand, four hundred sixteen".