3402519264 has 192 divisors, whose sum is σ = 10638190080. Its totient is φ = 1054218240.

The previous prime is 3402519161. The next prime is 3402519277. The reversal of 3402519264 is 4629152043.

It is a happy number.

3402519264 is a `hidden beast` number, since 3 + 402 + 5 + 192 + 64 = 666.

It is a super-2 number, since 2×3402519264² = 23154274683782203392, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1217709 + ... + 1220499.

It is an arithmetic number, because the mean of its divisors is an integer number (55407240).

Almost surely, 2^3402519264 is an apocalyptic number.

3402519264 is a gapful number since it is divisible by the number (34) 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 3402519264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319095040).

3402519264 is an abundant number, since it is smaller than the sum of its proper divisors (7235670816).

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

3402519264 is a wasteful number, since it uses less digits than its factorization.

3402519264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3402519264 is about 58331.1174588658. The cubic root of 3402519264 is about 1504.0658970297.

The spelling of 3402519264 in words is "three billion, four hundred two million, five hundred nineteen thousand, two hundred sixty-four".