3320290674400 has 288 divisors, whose sum is σ = 9318153600000. Its totient is φ = 1131699824640.

The previous prime is 3320290674289. The next prime is 3320290674419. The reversal of 3320290674400 is 44760920233.

It is a super-2 number, since 2×3320290674400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948923851 + ... + 948927349.

It is an arithmetic number, because the mean of its divisors is an integer number (32354700000).

Almost surely, 2^{3320290674400} 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 3320290674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659076800000).

3320290674400 is an abundant number, since it is smaller than the sum of its proper divisors (5997862925600).

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

3320290674400 is a wasteful number, since it uses less digits than its factorization.

3320290674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 3320290674400 in words is "three trillion, three hundred twenty billion, two hundred ninety million, six hundred seventy-four thousand, four hundred".