3492465984 has 252 divisors, whose sum is σ = 12078821664. Its totient is φ = 997629696.

The previous prime is 3492465973. The next prime is 3492466039. The reversal of 3492465984 is 4895642943.

3492465984 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 46 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3492465984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759757 + ... + 764339.

It is an arithmetic number, because the mean of its divisors is an integer number (47931832).

Almost surely, 2^3492465984 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 3492465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039410832).

3492465984 is an abundant number, since it is smaller than the sum of its proper divisors (8586355680).

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

3492465984 is an equidigital number, since it uses as much as digits as its factorization.

3492465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4595 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3492465984 is about 59097.0894714791. The cubic root of 3492465984 is about 1517.2042885619.

The spelling of 3492465984 in words is "three billion, four hundred ninety-two million, four hundred sixty-five thousand, nine hundred eighty-four".