3362839200000 has 1728 divisors, whose sum is σ = 14838490275840. Its totient is φ = 734469120000.

The previous prime is 3362839199999. The next prime is 3362839200029. The reversal of 3362839200000 is 29382633.

3362839200000 is a `hidden beast` number, since 3 + 3 + 628 + 3 + 9 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3362839200000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3477599517 + ... + 3477600483.

It is an arithmetic number, because the mean of its divisors is an integer number (8587089280).

Almost surely, 2^{3362839200000} is an apocalyptic number.

3362839200000 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 3362839200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419245137920).

3362839200000 is an abundant number, since it is smaller than the sum of its proper divisors (11475651075840).

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

3362839200000 is an frugal number, since it uses more digits than its factorization.

3362839200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3362839200000 in words is "three trillion, three hundred sixty-two billion, eight hundred thirty-nine million, two hundred thousand".