3372834816 has 560 divisors, whose sum is σ = 11989210464. Its totient is φ = 934281216.

The previous prime is 3372834809. The next prime is 3372834827. The reversal of 3372834816 is 6184382733.

It is a super-2 number, since 2×3372834816² = 22752029392043507712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146644981 + ... + 146645003.

Almost surely, 2^3372834816 is an apocalyptic number.

3372834816 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 3372834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994605232).

3372834816 is an abundant number, since it is smaller than the sum of its proper divisors (8616375648).

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

3372834816 is a wasteful number, since it uses less digits than its factorization.

3372834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3372834816 is about 58076.1122665765. The cubic root of 3372834816 is about 1499.6791633808.

The spelling of 3372834816 in words is "three billion, three hundred seventy-two million, eight hundred thirty-four thousand, eight hundred sixteen".