3164404992 has 144 divisors (see below), whose sum is σ = 9712106880. Its totient is φ = 895942656.

The previous prime is 3164404931. The next prime is 3164405003. The reversal of 3164404992 is 2994044613.

3164404992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604884 + ... + 610092.

Almost surely, 2^3164404992 is an apocalyptic number.

3164404992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856053440).

3164404992 is an abundant number, since it is smaller than the sum of its proper divisors (6547701888).

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

3164404992 is a wasteful number, since it uses less digits than its factorization.

3164404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3164404992 is about 56253.0442909537. The cubic root of 3164404992 is about 1468.1283338323.

It can be divided in two parts, 3164 and 404992, that added together give a triangular number (408156 = T₉₀₃).

The spelling of 3164404992 in words is "three billion, one hundred sixty-four million, four hundred four thousand, nine hundred ninety-two".