38625656670090 has 192 divisors, whose sum is σ = 119343365197056. Its totient is φ = 8805050583552.

The previous prime is 38625656670089. The next prime is 38625656670101. The reversal of 38625656670090 is 9007665652683.

38625656670090 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 565 + 6 + 67 + 0 + 0 + 9 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3300814 + ... + 9388646.

It is an arithmetic number, because the mean of its divisors is an integer number (621580027068).

Almost surely, 2^{38625656670090} is an apocalyptic number.

38625656670090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38625656670090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59671682598528).

38625656670090 is an abundant number, since it is smaller than the sum of its proper divisors (80717708526966).

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

38625656670090 is a wasteful number, since it uses less digits than its factorization.

38625656670090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088235 (or 6088223 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 38625656670090 in words is "thirty-eight trillion, six hundred twenty-five billion, six hundred fifty-six million, six hundred seventy thousand, ninety".