3680154938304 has 1344 divisors, whose sum is σ = 12786442905600. Its totient is φ = 1040555704320.

The previous prime is 3680154938227. The next prime is 3680154938323. The reversal of 3680154938304 is 4038394510863.

3680154938304 is a `hidden beast` number, since 3 + 68 + 0 + 1 + 549 + 3 + 8 + 30 + 4 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18493240797 + ... + 18493240995.

It is an arithmetic number, because the mean of its divisors is an integer number (9513722400).

Almost surely, 2^{3680154938304} 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 3680154938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393221452800).

3680154938304 is an abundant number, since it is smaller than the sum of its proper divisors (9106287967296).

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

3680154938304 is a wasteful number, since it uses less digits than its factorization.

3680154938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3680154938304 in words is "three trillion, six hundred eighty billion, one hundred fifty-four million, nine hundred thirty-eight thousand, three hundred four".