3492864000 has 336 divisors, whose sum is σ = 12625395120. Its totient is φ = 928972800.

The previous prime is 3492863981. The next prime is 3492864041. The reversal of 3492864000 is 4682943.

It is a happy number.

3492864000 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 8 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215811 + ... + 9216189.

Almost surely, 2^3492864000 is an apocalyptic number.

3492864000 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 3492864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312697560).

3492864000 is an abundant number, since it is smaller than the sum of its proper divisors (9132531120).

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

3492864000 is an equidigital number, since it uses as much as digits as its factorization.

3492864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3492864000 is about 59100.4568510261. The cubic root of 3492864000 is about 1517.2619220169.

The spelling of 3492864000 in words is "three billion, four hundred ninety-two million, eight hundred sixty-four thousand".