3684898152000 has 1344 divisors, whose sum is σ = 15009292247040. Its totient is φ = 855484416000.

The previous prime is 3684898151999. The next prime is 3684898152029. The reversal of 3684898152000 is 2518984863.

3684898152000 is a `hidden beast` number, since 3 + 6 + 8 + 489 + 8 + 152 + 0 + 0 + 0 = 666.

3684898152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3684898152000² (a number of 26 digits) contains 22 as substring.

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, 6811271730 + ... + 6811272270.

It is an arithmetic number, because the mean of its divisors is an integer number (11167628160).

Almost surely, 2^{3684898152000} is an apocalyptic number.

3684898152000 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 3684898152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504646123520).

3684898152000 is an abundant number, since it is smaller than the sum of its proper divisors (11324394095040).

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

3684898152000 is a wasteful number, since it uses less digits than its factorization.

3684898152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3684898152000 in words is "three trillion, six hundred eighty-four billion, eight hundred ninety-eight million, one hundred fifty-two thousand".