3375644904000 has 672 divisors, whose sum is σ = 12375446294016. Its totient is φ = 877929062400.

The previous prime is 3375644903963. The next prime is 3375644904011. The reversal of 3375644904000 is 4094465733.

3375644904000 is a `hidden beast` number, since 3 + 3 + 7 + 564 + 49 + 0 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×3375644904000² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1059190407 + ... + 1059193593.

Almost surely, 2^{3375644904000} is an apocalyptic number.

3375644904000 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 3375644904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187723147008).

3375644904000 is an abundant number, since it is smaller than the sum of its proper divisors (8999801390016).

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

3375644904000 is a wasteful number, since it uses less digits than its factorization.

3375644904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3375644904000 in words is "three trillion, three hundred seventy-five billion, six hundred forty-four million, nine hundred four thousand".