3372981696 has 448 divisors, whose sum is σ = 12289536000. Its totient is φ = 885178368.

The previous prime is 3372981683. The next prime is 3372981749. The reversal of 3372981696 is 6961892733.

3372981696 is a `hidden beast` number, since 337 + 298 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3372981696² = 22754011043102072832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9664530 + ... + 9664878.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 2^3372981696 is an apocalyptic number.

3372981696 is a gapful number since it is divisible by the number (36) 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 3372981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

3372981696 is an abundant number, since it is smaller than the sum of its proper divisors (8916554304).

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

3372981696 is a wasteful number, since it uses less digits than its factorization.

3372981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 3372981696 is about 58077.3768002654. The cubic root of 3372981696 is about 1499.7009323763.

The spelling of 3372981696 in words is "three billion, three hundred seventy-two million, nine hundred eighty-one thousand, six hundred ninety-six".