3957421104 has 480 divisors, whose sum is σ = 14498447040. Its totient is φ = 1024192512.

The previous prime is 3957421093. The next prime is 3957421123. The reversal of 3957421104 is 4011247593.

3957421104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3957421104² = 31322363588769157632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20088334 + ... + 20088530.

It is an arithmetic number, because the mean of its divisors is an integer number (30205098).

Almost surely, 2^3957421104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249223520).

3957421104 is an abundant number, since it is smaller than the sum of its proper divisors (10541025936).

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

3957421104 is a wasteful number, since it uses less digits than its factorization.

3957421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3957421104 is about 62908.0368792414. The cubic root of 3957421104 is about 1581.7484655038.

Adding to 3957421104 its reverse (4011247593), we get a palindrome (7968668697).

The spelling of 3957421104 in words is "three billion, nine hundred fifty-seven million, four hundred twenty-one thousand, one hundred four".