3664309410 has 192 divisors, whose sum is σ = 10351411200. Its totient is φ = 896386176.

The previous prime is 3664309409. The next prime is 3664309447. The reversal of 3664309410 is 149034663.

3664309410 is a `hidden beast` number, since 3 + 6 + 643 + 0 + 9 + 4 + 1 + 0 = 666.

3664309410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10206811 + ... + 10207169.

It is an arithmetic number, because the mean of its divisors is an integer number (53913600).

Almost surely, 2^3664309410 is an apocalyptic number.

3664309410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664309410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175705600).

3664309410 is an abundant number, since it is smaller than the sum of its proper divisors (6687101790).

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

3664309410 is a wasteful number, since it uses less digits than its factorization.

3664309410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3664309410 is about 60533.5395462714. The cubic root of 3664309410 is about 1541.6911497191.

It can be divided in two parts, 366 and 4309410, that added together give a square (4309776 = 2076²).

The spelling of 3664309410 in words is "three billion, six hundred sixty-four million, three hundred nine thousand, four hundred ten".