3379138560 has 624 divisors, whose sum is σ = 14025088896. Its totient is φ = 764411904.

The previous prime is 3379138559. The next prime is 3379138573. The reversal of 3379138560 is 658319733.

3379138560 is a `hidden beast` number, since 3 + 3 + 79 + 13 + 8 + 560 = 666.

It is a super-2 number, since 2×3379138560² = 22837154815357747200, which contains 22 as substring.

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

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, 34836432 + ... + 34836528.

It is an arithmetic number, because the mean of its divisors is an integer number (22476104).

Almost surely, 2^3379138560 is an apocalyptic number.

3379138560 is a gapful number since it is divisible by the number (30) 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 3379138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012544448).

3379138560 is an abundant number, since it is smaller than the sum of its proper divisors (10645950336).

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

3379138560 is an frugal number, since it uses more digits than its factorization.

3379138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

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

The square root of 3379138560 is about 58130.3583336625. The cubic root of 3379138560 is about 1500.6128695598.

The spelling of 3379138560 in words is "three billion, three hundred seventy-nine million, one hundred thirty-eight thousand, five hundred sixty".