3377820096 has 448 divisors, whose sum is σ = 11948160000. Its totient is φ = 934778880.

The previous prime is 3377820073. The next prime is 3377820107. The reversal of 3377820096 is 6900287733.

It is a happy number.

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

It is a super-2 number, since 2×3377820096² = 22819337201882898432, 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 63 ways as a sum of consecutive naturals, for example, 24300795 + ... + 24300933.

It is an arithmetic number, because the mean of its divisors is an integer number (26670000).

Almost surely, 2^3377820096 is an apocalyptic number.

3377820096 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 3377820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974080000).

3377820096 is an abundant number, since it is smaller than the sum of its proper divisors (8570339904).

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

3377820096 is a wasteful number, since it uses less digits than its factorization.

3377820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3377820096 is about 58119.0166468773. The cubic root of 3377820096 is about 1500.4176756872.

The spelling of 3377820096 in words is "three billion, three hundred seventy-seven million, eight hundred twenty thousand, ninety-six".