3164121600 has 480 divisors, whose sum is σ = 11453213376. Its totient is φ = 766771200.

The previous prime is 3164121559. The next prime is 3164121613. The reversal of 3164121600 is 61214613.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24153535 + ... + 24153665.

Almost surely, 2^3164121600 is an apocalyptic number.

3164121600 is a gapful number since it is divisible by the number (30) 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 3164121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726606688).

3164121600 is an abundant number, since it is smaller than the sum of its proper divisors (8289091776).

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

3164121600 is a wasteful number, since it uses less digits than its factorization.

3164121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3164121600 is about 56250.5253308802. The cubic root of 3164121600 is about 1468.0845058724.

The spelling of 3164121600 in words is "three billion, one hundred sixty-four million, one hundred twenty-one thousand, six hundred".