3329668742400 has 5184 divisors, whose sum is σ = 17536397598720. Its totient is φ = 579679027200.

The previous prime is 3329668742369. The next prime is 3329668742419. The reversal of 3329668742400 is 42478669233.

3329668742400 is a `hidden beast` number, since 3 + 32 + 96 + 6 + 87 + 42 + 400 = 666.

It is a super-2 number, since 2×3329668742400² (a number of 26 digits) contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42147705561 + ... + 42147705639.

Almost surely, 2^{3329668742400} is an apocalyptic number.

3329668742400 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 3329668742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768198799360).

3329668742400 is an abundant number, since it is smaller than the sum of its proper divisors (14206728856320).

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

3329668742400 is a wasteful number, since it uses less digits than its factorization.

3329668742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3329668742400 in words is "three trillion, three hundred twenty-nine billion, six hundred sixty-eight million, seven hundred forty-two thousand, four hundred".