3957661890 has 192 divisors, whose sum is σ = 13221774720. Its totient is φ = 834986880.

The previous prime is 3957661889. The next prime is 3957661919. The reversal of 3957661890 is 981667593.

3957661890 is a `hidden beast` number, since 3 + 9 + 576 + 61 + 8 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 160485 + ... + 183495.

It is an arithmetic number, because the mean of its divisors is an integer number (68863410).

Almost surely, 2^3957661890 is an apocalyptic number.

3957661890 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 3957661890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610887360).

3957661890 is an abundant number, since it is smaller than the sum of its proper divisors (9264112830).

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

3957661890 is a wasteful number, since it uses less digits than its factorization.

3957661890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23041 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3957661890 is about 62909.9506437575. The cubic root of 3957661890 is about 1581.7805449104.

The spelling of 3957661890 in words is "three billion, nine hundred fifty-seven million, six hundred sixty-one thousand, eight hundred ninety".