3664114040 has 128 divisors (see below), whose sum is σ = 9160905600. Its totient is φ = 1312604160.

The previous prime is 3664114009. The next prime is 3664114043. The reversal of 3664114040 is 404114663.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 3664113994 and 3664114012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664114043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398812 + ... + 1401428.

It is an arithmetic number, because the mean of its divisors is an integer number (71569575).

Almost surely, 2^3664114040 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 3664114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580452800).

3664114040 is an abundant number, since it is smaller than the sum of its proper divisors (5496791560).

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

3664114040 is a wasteful number, since it uses less digits than its factorization.

3664114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3664114040 is about 60531.9257912715. The cubic root of 3664114040 is about 1541.6637497810.

The spelling of 3664114040 in words is "three billion, six hundred sixty-four million, one hundred fourteen thousand, forty".