3893402964 has 144 divisors (see below), whose sum is σ = 10469623808. Its totient is φ = 1123848000.

The previous prime is 3893402963. The next prime is 3893402977. The reversal of 3893402964 is 4692043983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893402963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015159 + ... + 3016449.

Almost surely, 2^3893402964 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 3893402964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234811904).

3893402964 is an abundant number, since it is smaller than the sum of its proper divisors (6576220844).

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

3893402964 is a wasteful number, since it uses less digits than its factorization.

3893402964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3893402964 is about 62397.1390690310. The cubic root of 3893402964 is about 1573.1728826888.

The spelling of 3893402964 in words is "three billion, eight hundred ninety-three million, four hundred two thousand, nine hundred sixty-four".