3402925344 has 504 divisors, whose sum is σ = 12638380860. Its totient is φ = 893555712.

The previous prime is 3402925313. The next prime is 3402925363. The reversal of 3402925344 is 4435292043.

3402925344 is a `hidden beast` number, since 34 + 0 + 2 + 92 + 534 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3388636944 + 14288400 = 58212^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 3402925299 and 3402925308.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859822 + ... + 14860050.

Almost surely, 2^3402925344 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 3402925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319190430).

3402925344 is an abundant number, since it is smaller than the sum of its proper divisors (9235455516).

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

3402925344 is a wasteful number, since it uses less digits than its factorization.

3402925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3402925344 is about 58334.5981729539. The cubic root of 3402925344 is about 1504.1257298316.

The spelling of 3402925344 in words is "three billion, four hundred two million, nine hundred twenty-five thousand, three hundred forty-four".