3386737848000 has 448 divisors, whose sum is σ = 12431766896640. Its totient is φ = 806764032000.

The previous prime is 3386737847903. The next prime is 3386737848017. The reversal of 3386737848000 is 8487376833.

It is a super-2 number, since 2×3386737848000² (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 63 ways as a sum of consecutive naturals, for example, 9496921 + ... + 9847079.

It is an arithmetic number, because the mean of its divisors is an integer number (27749479680).

Almost surely, 2^{3386737848000} is an apocalyptic number.

3386737848000 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 3386737848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215883448320).

3386737848000 is an abundant number, since it is smaller than the sum of its proper divisors (9045029048640).

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

3386737848000 is a wasteful number, since it uses less digits than its factorization.

3386737848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350233 (or 350213 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 3386737848000 in words is "three trillion, three hundred eighty-six billion, seven hundred thirty-seven million, eight hundred forty-eight thousand".