3383004111552 has 672 divisors, whose sum is σ = 11450546933760. Its totient is φ = 975591751680.

The previous prime is 3383004111533. The next prime is 3383004111581. The reversal of 3383004111552 is 2551114003833.

3383004111552 is a `hidden beast` number, since 3 + 38 + 30 + 0 + 41 + 1 + 1 + 552 = 666.

It is a super-2 number, since 2×3383004111552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1305673777 + ... + 1305676367.

Almost surely, 2^{3383004111552} is an apocalyptic number.

3383004111552 is a gapful number since it is divisible by the number (32) 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 3383004111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725273466880).

3383004111552 is an abundant number, since it is smaller than the sum of its proper divisors (8067542822208).

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

3383004111552 is a wasteful number, since it uses less digits than its factorization.

3383004111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 3383004111552 in words is "three trillion, three hundred eighty-three billion, four million, one hundred eleven thousand, five hundred fifty-two".