3379002480 has 640 divisors, whose sum is σ = 14056243200. Its totient is φ = 739031040.

The previous prime is 3379002421. The next prime is 3379002553. The reversal of 3379002480 is 842009733.

It is a super-2 number, since 2×3379002480² = 22835315519692300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37966276 + ... + 37966364.

It is an arithmetic number, because the mean of its divisors is an integer number (21962880).

Almost surely, 2^3379002480 is an apocalyptic number.

3379002480 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 3379002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028121600).

3379002480 is an abundant number, since it is smaller than the sum of its proper divisors (10677240720).

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

3379002480 is an equidigital number, since it uses as much as digits as its factorization.

3379002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3379002480 is about 58129.1878491348. The cubic root of 3379002480 is about 1500.5927257533.

The spelling of 3379002480 in words is "three billion, three hundred seventy-nine million, two thousand, four hundred eighty".