3446876160 has 768 divisors, whose sum is σ = 15190156800. Its totient is φ = 721944576.

The previous prime is 3446876137. The next prime is 3446876161. The reversal of 3446876160 is 616786443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (3446876161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159612 + ... + 25159748.

It is an arithmetic number, because the mean of its divisors is an integer number (19778850).

Almost surely, 2^3446876160 is an apocalyptic number.

3446876160 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 3446876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595078400).

3446876160 is an abundant number, since it is smaller than the sum of its proper divisors (11743280640).

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

3446876160 is a wasteful number, since it uses less digits than its factorization.

3446876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3446876160 is about 58710.1027081370. The cubic root of 3446876160 is about 1510.5736107055.

The spelling of 3446876160 in words is "three billion, four hundred forty-six million, eight hundred seventy-six thousand, one hundred sixty".