3390825886400 has 336 divisors, whose sum is σ = 8642741391648. Its totient is φ = 1308524544000.

The previous prime is 3390825886381. The next prime is 3390825886411. The reversal of 3390825886400 is 46885280933.

It is a super-2 number, since 2×3390825886400² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491421720 + ... + 2491423080.

It is an arithmetic number, because the mean of its divisors is an integer number (25722444618).

Almost surely, 2^{3390825886400} 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 3390825886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321370695824).

3390825886400 is an abundant number, since it is smaller than the sum of its proper divisors (5251915505248).

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

3390825886400 is a wasteful number, since it uses less digits than its factorization.

3390825886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 3390825886400 in words is "three trillion, three hundred ninety billion, eight hundred twenty-five million, eight hundred eighty-six thousand, four hundred".