3876890970 has 64 divisors (see below), whose sum is σ = 9864167040. Its totient is φ = 971808768.

The previous prime is 3876890957. The next prime is 3876890977. The reversal of 3876890970 is 790986783.

3876890970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3876890970.

It is not an unprimeable number, because it can be changed into a prime (3876890977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446026 + ... + 454634.

It is an arithmetic number, because the mean of its divisors is an integer number (154127610).

Almost surely, 2^3876890970 is an apocalyptic number.

3876890970 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 3876890970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932083520).

3876890970 is an abundant number, since it is smaller than the sum of its proper divisors (5987276070).

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

3876890970 is a wasteful number, since it uses less digits than its factorization.

3876890970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519.

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 3876890970 is about 62264.6847739551. The cubic root of 3876890970 is about 1570.9457795534.

The spelling of 3876890970 in words is "three billion, eight hundred seventy-six million, eight hundred ninety thousand, nine hundred seventy".