3390670483200 has 3888 divisors, whose sum is σ = 17164413407232. Its totient is φ = 627056640000.

The previous prime is 3390670483163. The next prime is 3390670483259. The reversal of 3390670483200 is 23840760933.

3390670483200 is a `hidden beast` number, since 3 + 3 + 90 + 67 + 0 + 483 + 20 + 0 = 666.

3390670483200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3390670483200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12511699065 + ... + 12511699335.

Almost surely, 2^{3390670483200} is an apocalyptic number.

3390670483200 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 3390670483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582206703616).

3390670483200 is an abundant number, since it is smaller than the sum of its proper divisors (13773742924032).

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

3390670483200 is a wasteful number, since it uses less digits than its factorization.

3390670483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3390670483200 in words is "three trillion, three hundred ninety billion, six hundred seventy million, four hundred eighty-three thousand, two hundred".