3664944540 has 144 divisors (see below), whose sum is σ = 11256991200. Its totient is φ = 965099520.

The previous prime is 3664944469. The next prime is 3664944551. The reversal of 3664944540 is 454494663.

3664944540 is a `hidden beast` number, since 3 + 6 + 64 + 9 + 44 + 540 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8162236 + ... + 8162684.

It is an arithmetic number, because the mean of its divisors is an integer number (78173550).

Almost surely, 2^3664944540 is an apocalyptic number.

3664944540 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 3664944540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628495600).

3664944540 is an abundant number, since it is smaller than the sum of its proper divisors (7592046660).

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

3664944540 is a wasteful number, since it uses less digits than its factorization.

3664944540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3664944540 is about 60538.7854189362. The cubic root of 3664944540 is about 1541.7802176828.

The spelling of 3664944540 in words is "three billion, six hundred sixty-four million, nine hundred forty-four thousand, five hundred forty".