3379853610 has 96 divisors (see below), whose sum is σ = 10107257472. Its totient is φ = 767594880.

The previous prime is 3379853567. The next prime is 3379853651. The reversal of 3379853610 is 163589733.

3379853610 is a `hidden beast` number, since 33 + 79 + 8 + 536 + 10 = 666.

3379853610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3379853610² = 22846820850060064200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81825 + ... + 115995.

It is an arithmetic number, because the mean of its divisors is an integer number (105283932).

Almost surely, 2^3379853610 is an apocalyptic number.

3379853610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379853610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053628736).

3379853610 is an abundant number, since it is smaller than the sum of its proper divisors (6727403862).

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

3379853610 is a wasteful number, since it uses less digits than its factorization.

3379853610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34348 (or 34345 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3379853610 is about 58136.5084090883. The cubic root of 3379853610 is about 1500.7187089167.

The spelling of 3379853610 in words is "three billion, three hundred seventy-nine million, eight hundred fifty-three thousand, six hundred ten".