3658904252640 has 4320 divisors, whose sum is σ = 18311364175104. Its totient is φ = 678893322240.

The previous prime is 3658904252587. The next prime is 3658904252651. The reversal of 3658904252640 is 462524098563.

3658904252640 is a `hidden beast` number, since 3 + 6 + 589 + 0 + 4 + 2 + 52 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 118029169425 + ... + 118029169455.

Almost surely, 2^{3658904252640} is an apocalyptic number.

3658904252640 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 3658904252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155682087552).

3658904252640 is an abundant number, since it is smaller than the sum of its proper divisors (14652459922464).

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

3658904252640 is a wasteful number, since it uses less digits than its factorization.

3658904252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3658904252640 in words is "three trillion, six hundred fifty-eight billion, nine hundred four million, two hundred fifty-two thousand, six hundred forty".