3857893079104 has 21 divisors (see below), whose sum is σ = 7655537759887. Its totient is φ = 1928938682944.

The previous prime is 3857893079011. The next prime is 3857893079141. The reversal of 3857893079104 is 4019703987583.

The square root of 3857893079104 is 1964152.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15590457 + ... + 15835975.

Almost surely, 2^{3857893079104} is an apocalyptic number.

3857893079104 is the 1964152-nd square number.

It is an amenable number.

3857893079104 is a deficient number, since it is larger than the sum of its proper divisors (3797644680783).

3857893079104 is an frugal number, since it uses more digits than its factorization.

3857893079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491050 (or 245521 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

Multiplying 3857893079104 by its sum of digits (64), we get a square (246905157062656 = 15713216²).

3857893079104 divided by its sum of digits (64) gives a square (60279579361 = 245519²).

The spelling of 3857893079104 in words is "three trillion, eight hundred fifty-seven billion, eight hundred ninety-three million, seventy-nine thousand, one hundred four".