3497782464 has 126 divisors (see below), whose sum is σ = 10951934916. Its totient is φ = 1058507520.

The previous prime is 3497782417. The next prime is 3497782471. The reversal of 3497782464 is 4642877943.

3497782464 is a `hidden beast` number, since 3 + 497 + 78 + 24 + 64 = 666.

3497782464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3497782464² = 24468964330931822592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3497782464.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4707277 + ... + 4708019.

Almost surely, 2^3497782464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475967458).

3497782464 is an abundant number, since it is smaller than the sum of its proper divisors (7454152452).

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

3497782464 is an equidigital number, since it uses as much as digits as its factorization.

3497782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 759 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3497782464 is about 59142.0532616175. The cubic root of 3497782464 is about 1517.9737636526.

The spelling of 3497782464 in words is "three billion, four hundred ninety-seven million, seven hundred eighty-two thousand, four hundred sixty-four".