3382904045136 has 240 divisors, whose sum is σ = 11094282920448. Its totient is φ = 878349024000.

The previous prime is 3382904045093. The next prime is 3382904045159. The reversal of 3382904045136 is 6315404092833.

It is a super-2 number, since 2×3382904045136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 73738141 + ... + 73784003.

Almost surely, 2^{3382904045136} 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 3382904045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547141460224).

3382904045136 is an abundant number, since it is smaller than the sum of its proper divisors (7711378875312).

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

3382904045136 is a wasteful number, since it uses less digits than its factorization.

3382904045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48750 (or 48737 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 3382904045136 in words is "three trillion, three hundred eighty-two billion, nine hundred four million, forty-five thousand, one hundred thirty-six".