3149902080 has 864 divisors, whose sum is σ = 13124442240. Its totient is φ = 716636160.

The previous prime is 3149902073. The next prime is 3149902081. The reversal of 3149902080 is 802099413.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3149902080² = 19843766227176652800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3149902081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 76826860 + ... + 76826900.

Almost surely, 2^3149902080 is an apocalyptic number.

3149902080 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 3149902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562221120).

3149902080 is an abundant number, since it is smaller than the sum of its proper divisors (9974540160).

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

3149902080 is a wasteful number, since it uses less digits than its factorization.

3149902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3149902080 is about 56123.9884541361. The cubic root of 3149902080 is about 1465.8820192336.

The spelling of 3149902080 in words is "three billion, one hundred forty-nine million, nine hundred two thousand, eighty".