3402528480 has 144 divisors (see below), whose sum is σ = 12504360960. Its totient is φ = 837540864.

The previous prime is 3402528463. The next prime is 3402528491. The reversal of 3402528480 is 848252043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3402528480² = 23154400114422220800, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72160 + ... + 109599.

It is an arithmetic number, because the mean of its divisors is an integer number (86835840).

Almost surely, 2^3402528480 is an apocalyptic number.

3402528480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402528480 is an abundant number, since it is smaller than the sum of its proper divisors (9101832480).

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

3402528480 is a wasteful number, since it uses less digits than its factorization.

3402528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181793 (or 181782 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3402528480 is about 58331.1964560989. The cubic root of 3402528480 is about 1504.0672549901.

The spelling of 3402528480 in words is "three billion, four hundred two million, five hundred twenty-eight thousand, four hundred eighty".