3340492185600 has 672 divisors, whose sum is σ = 12324493146240. Its totient is φ = 887024517120.

The previous prime is 3340492185581. The next prime is 3340492185631. The reversal of 3340492185600 is 65812940433.

3340492185600 is a `hidden beast` number, since 3 + 3 + 40 + 49 + 2 + 1 + 8 + 560 + 0 = 666.

It is a super-2 number, since 2×3340492185600² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454283652 + ... + 1454285948.

Almost surely, 2^{3340492185600} is an apocalyptic number.

3340492185600 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 3340492185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162246573120).

3340492185600 is an abundant number, since it is smaller than the sum of its proper divisors (8984000960640).

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

3340492185600 is a wasteful number, since it uses less digits than its factorization.

3340492185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3340492185600 in words is "three trillion, three hundred forty billion, four hundred ninety-two million, one hundred eighty-five thousand, six hundred".