3395640916800 has 840 divisors, whose sum is σ = 14208351803712. Its totient is φ = 787387392000.

The previous prime is 3395640916793. The next prime is 3395640916817. The reversal of 3395640916800 is 86190465933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32737020 + ... + 32840580.

Almost surely, 2^{3395640916800} is an apocalyptic number.

3395640916800 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 3395640916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104175901856).

3395640916800 is an abundant number, since it is smaller than the sum of its proper divisors (10812710886912).

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

3395640916800 is a wasteful number, since it uses less digits than its factorization.

3395640916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103629 (or 103605 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3395640916800 in words is "three trillion, three hundred ninety-five billion, six hundred forty million, nine hundred sixteen thousand, eight hundred".