3451797504 has 315 divisors, whose sum is σ = 10994999617. Its totient is φ = 1082916864.

The previous prime is 3451797499. The next prime is 3451797533. The reversal of 3451797504 is 4057971543.

The square root of 3451797504 is 58752.

It is a perfect power (a square), and thus also a powerful number.

3451797504 is a `hidden beast` number, since 3 + 4 + 51 + 7 + 97 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2687385600 + 764411904 = 51840^2 + 27648^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3451797504.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 203046904 + ... + 203046920.

Almost surely, 2^3451797504 is an apocalyptic number.

3451797504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3451797504 is the 58752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451797504

3451797504 is an abundant number, since it is smaller than the sum of its proper divisors (7543202113).

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

3451797504 is an frugal number, since it uses more digits than its factorization.

3451797504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The cubic root of 3451797504 is about 1511.2921857086.

The spelling of 3451797504 in words is "three billion, four hundred fifty-one million, seven hundred ninety-seven thousand, five hundred four".