3402441576 has 96 divisors (see below), whose sum is σ = 9354683520. Its totient is φ = 1117036800.

The previous prime is 3402441563. The next prime is 3402441613. The reversal of 3402441576 is 6751442043.

3402441576 is a `hidden beast` number, since 3 + 40 + 2 + 4 + 41 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3402441576.

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, 2574996 + ... + 2576316.

It is an arithmetic number, because the mean of its divisors is an integer number (97444620).

Almost surely, 2^3402441576 is an apocalyptic number.

3402441576 is a gapful number since it is divisible by the number (36) 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 3402441576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677341760).

3402441576 is an abundant number, since it is smaller than the sum of its proper divisors (5952241944).

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

3402441576 is a wasteful number, since it uses less digits than its factorization.

3402441576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3402441576 is about 58330.4515326257. The cubic root of 3402441576 is about 1504.0544497508.

The spelling of 3402441576 in words is "three billion, four hundred two million, four hundred forty-one thousand, five hundred seventy-six".