3356973984 has 192 divisors, whose sum is σ = 10905753600. Its totient is φ = 880450560.

The previous prime is 3356973953. The next prime is 3356974007. The reversal of 3356973984 is 4893796533.

It is a happy number.

It is a super-2 number, since 2×3356973984² = 22538548658505664512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737499 + ... + 1739429.

It is an arithmetic number, because the mean of its divisors is an integer number (56800800).

Almost surely, 2^3356973984 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 3356973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452876800).

3356973984 is an abundant number, since it is smaller than the sum of its proper divisors (7548779616).

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

3356973984 is a wasteful number, since it uses less digits than its factorization.

3356973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The square root of 3356973984 is about 57939.3992374792. The cubic root of 3356973984 is about 1497.3247104985.

The spelling of 3356973984 in words is "three billion, three hundred fifty-six million, nine hundred seventy-three thousand, nine hundred eighty-four".