3706582464 has 112 divisors (see below), whose sum is σ = 11734942240. Its totient is φ = 1140480000.

The previous prime is 3706582441. The next prime is 3706582483. The reversal of 3706582464 is 4642856073.

3706582464 is a `hidden beast` number, since 3 + 7 + 0 + 6 + 582 + 4 + 64 = 666.

It is a super-2 number, since 2×3706582464² = 27477507124864622592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60037 + ... + 104964.

It is an arithmetic number, because the mean of its divisors is an integer number (104776270).

Almost surely, 2^3706582464 is an apocalyptic number.

It is an amenable number.

3706582464 is an abundant number, since it is smaller than the sum of its proper divisors (8028359776).

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

3706582464 is a wasteful number, since it uses less digits than its factorization.

3706582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165035 (or 165019 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3706582464 is about 60881.7087802240. The cubic root of 3706582464 is about 1547.5970347068.

The spelling of 3706582464 in words is "three billion, seven hundred six million, five hundred eighty-two thousand, four hundred sixty-four".