3457278720 has 576 divisors, whose sum is σ = 14504878080. Its totient is φ = 763084800.

The previous prime is 3457278719. The next prime is 3457278743. The reversal of 3457278720 is 278727543.

3457278720 is a `hidden beast` number, since 3 + 4 + 572 + 7 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3457278720² = 23905552295529676800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499290 + ... + 7499750.

It is an arithmetic number, because the mean of its divisors is an integer number (25182080).

Almost surely, 2^3457278720 is an apocalyptic number.

3457278720 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 3457278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252439040).

3457278720 is an abundant number, since it is smaller than the sum of its proper divisors (11047599360).

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

3457278720 is a wasteful number, since it uses less digits than its factorization.

3457278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3457278720 is about 58798.6285554349. The cubic root of 3457278720 is about 1512.0917051962.

The spelling of 3457278720 in words is "three billion, four hundred fifty-seven million, two hundred seventy-eight thousand, seven hundred twenty".