3402754992 has 480 divisors, whose sum is σ = 12565862400. Its totient is φ = 834582528.

The previous prime is 3402754981. The next prime is 3402754997. The reversal of 3402754992 is 2994572043.

It is not an unprimeable number, because it can be changed into a prime (3402754997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19669018 + ... + 19669190.

It is an arithmetic number, because the mean of its divisors is an integer number (26178880).

Almost surely, 2^3402754992 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 3402754992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282931200).

3402754992 is an abundant number, since it is smaller than the sum of its proper divisors (9163107408).

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

3402754992 is a wasteful number, since it uses less digits than its factorization.

3402754992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3402754992 is about 58333.1380263397. The cubic root of 3402754992 is about 1504.1006303387.

The spelling of 3402754992 in words is "three billion, four hundred two million, seven hundred fifty-four thousand, nine hundred ninety-two".