3386501280 has 144 divisors (see below), whose sum is σ = 11577855744. Its totient is φ = 901393920.

The previous prime is 3386501263. The next prime is 3386501291. The reversal of 3386501280 is 821056833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3386501280² = 22936781838883276800, which contains 22 as substring.

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

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, 906777 + ... + 910503.

It is an arithmetic number, because the mean of its divisors is an integer number (80401776).

Almost surely, 2^3386501280 is an apocalyptic number.

3386501280 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 3386501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788927872).

3386501280 is an abundant number, since it is smaller than the sum of its proper divisors (8191354464).

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

3386501280 is a wasteful number, since it uses less digits than its factorization.

3386501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3386501280 is about 58193.6532621900. The cubic root of 3386501280 is about 1501.7019614877.

The spelling of 3386501280 in words is "three billion, three hundred eighty-six million, five hundred one thousand, two hundred eighty".