38962342875456 has 3584 divisors, whose sum is σ = 168841838592000. Its totient is φ = 8476014182400.

The previous prime is 38962342875439. The next prime is 38962342875481. The reversal of 38962342875456 is 65457824326983.

38962342875456 is a `hidden beast` number, since 3 + 8 + 9 + 62 + 3 + 42 + 8 + 75 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 170141235150 + ... + 170141235378.

It is an arithmetic number, because the mean of its divisors is an integer number (47109888000).

Almost surely, 2^{38962342875456} is an apocalyptic number.

38962342875456 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 38962342875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420919296000).

38962342875456 is an abundant number, since it is smaller than the sum of its proper divisors (129879495716544).

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

38962342875456 is a wasteful number, since it uses less digits than its factorization.

38962342875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 38962342875456 in words is "thirty-eight trillion, nine hundred sixty-two billion, three hundred forty-two million, eight hundred seventy-five thousand, four hundred fifty-six".