3457959120 has 640 divisors, whose sum is σ = 15736135680. Its totient is φ = 675717120.

The previous prime is 3457959107. The next prime is 3457959161. The reversal of 3457959120 is 219597543.

It is a happy number.

3457959120 is a `hidden beast` number, since 3 + 4 + 57 + 9 + 591 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2826829 + ... + 2828051.

It is an arithmetic number, because the mean of its divisors is an integer number (24587712).

Almost surely, 2^3457959120 is an apocalyptic number.

3457959120 is a gapful number since it is divisible by the number (30) 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 3457959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868067840).

3457959120 is an abundant number, since it is smaller than the sum of its proper divisors (12278176560).

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

3457959120 is a wasteful number, since it uses less digits than its factorization.

3457959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 3457959120 is about 58804.4141200301. The cubic root of 3457959120 is about 1512.1908930059.

The spelling of 3457959120 in words is "three billion, four hundred fifty-seven million, nine hundred fifty-nine thousand, one hundred twenty".