3457450560 has 112 divisors (see below), whose sum is σ = 10998622656. Its totient is φ = 920205312.

The previous prime is 3457450541. The next prime is 3457450603. The reversal of 3457450560 is 650547543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537282 + ... + 543678.

It is an arithmetic number, because the mean of its divisors is an integer number (98201988).

Almost surely, 2^3457450560 is an apocalyptic number.

3457450560 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 3457450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499311328).

3457450560 is an abundant number, since it is smaller than the sum of its proper divisors (7541172096).

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

3457450560 is a wasteful number, since it uses less digits than its factorization.

3457450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 3457450560 is about 58800.0897958498. The cubic root of 3457450560 is about 1512.1167570317.

The spelling of 3457450560 in words is "three billion, four hundred fifty-seven million, four hundred fifty thousand, five hundred sixty".