3379813632 has 216 divisors, whose sum is σ = 11048637600. Its totient is φ = 985042944.

The previous prime is 3379813589. The next prime is 3379813649. The reversal of 3379813632 is 2363189733.

3379813632 is a `hidden beast` number, since 3 + 3 + 7 + 9 + 8 + 1 + 3 + 632 = 666.

It is a super-2 number, since 2×3379813632² = 22846280374106062848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566119 + ... + 572057.

It is an arithmetic number, because the mean of its divisors is an integer number (51151100).

Almost surely, 2^3379813632 is an apocalyptic number.

3379813632 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 3379813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524318800).

3379813632 is an abundant number, since it is smaller than the sum of its proper divisors (7668823968).

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

3379813632 is a wasteful number, since it uses less digits than its factorization.

3379813632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5976 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3379813632 is about 58136.1645793735. The cubic root of 3379813632 is about 1500.7127918982.

The spelling of 3379813632 in words is "three billion, three hundred seventy-nine million, eight hundred thirteen thousand, six hundred thirty-two".