38952578347200 has 1008 divisors, whose sum is σ = 163777562208000. Its totient is φ = 8591349473280.

The previous prime is 38952578347181. The next prime is 38952578347223. The reversal of 38952578347200 is 274387525983.

38952578347200 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 2 + 578 + 34 + 7 + 20 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7188146091 + ... + 7188151509.

Almost surely, 2^{38952578347200} is an apocalyptic number.

38952578347200 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 38952578347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81888781104000).

38952578347200 is an abundant number, since it is smaller than the sum of its proper divisors (124824983860800).

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

38952578347200 is a wasteful number, since it uses less digits than its factorization.

38952578347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 38952578347200 in words is "thirty-eight trillion, nine hundred fifty-two billion, five hundred seventy-eight million, three hundred forty-seven thousand, two hundred".