3890375136 has 96 divisors (see below), whose sum is σ = 11506924800. Its totient is φ = 1278506880.

The previous prime is 3890375129. The next prime is 3890375147. The reversal of 3890375136 is 6315730983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3890375091 and 3890375100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29635 + ... + 93053.

It is an arithmetic number, because the mean of its divisors is an integer number (119863800).

Almost surely, 2^3890375136 is an apocalyptic number.

3890375136 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 3890375136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753462400).

3890375136 is an abundant number, since it is smaller than the sum of its proper divisors (7616549664).

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

3890375136 is a wasteful number, since it uses less digits than its factorization.

3890375136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63509 (or 63495 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3890375136 is about 62372.8717953567. The cubic root of 3890375136 is about 1572.7649677057.

The spelling of 3890375136 in words is "three billion, eight hundred ninety million, three hundred seventy-five thousand, one hundred thirty-six".