38401642177362 has 16 divisors (see below), whose sum is σ = 85336982616480. Its totient is φ = 12800547392436.

The previous prime is 38401642177271. The next prime is 38401642177429. The reversal of 38401642177362 is 26377124610483.

38401642177362 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 64 + 217 + 7 + 362 = 666.

It is a super-3 number, since 3×38401642177362³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 711141521803 = 38401642177362 / (3 + 8 + 4 + 0 + 1 + 6 + 4 + 2 + 1 + 7 + 7 + 3 + 6 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 38401642177299 and 38401642177308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355570760848 + ... + 355570760955.

It is an arithmetic number, because the mean of its divisors is an integer number (5333561413530).

Almost surely, 2^{38401642177362} is an apocalyptic number.

38401642177362 is an abundant number, since it is smaller than the sum of its proper divisors (46935340439118).

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

38401642177362 is a wasteful number, since it uses less digits than its factorization.

38401642177362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711141521814 (or 711141521808 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 38401642177362 in words is "thirty-eight trillion, four hundred one billion, six hundred forty-two million, one hundred seventy-seven thousand, three hundred sixty-two".