3354644160 has 336 divisors, whose sum is σ = 13677570816. Its totient is φ = 766651392.

The previous prime is 3354644147. The next prime is 3354644171. The reversal of 3354644160 is 614464533.

3354644160 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 644 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3354644160² = 22507274880444211200, 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 47 ways as a sum of consecutive naturals, for example, 541239 + ... + 547401.

It is an arithmetic number, because the mean of its divisors is an integer number (40707056).

Almost surely, 2^3354644160 is an apocalyptic number.

3354644160 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 3354644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838785408).

3354644160 is an abundant number, since it is smaller than the sum of its proper divisors (10322926656).

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

3354644160 is an equidigital number, since it uses as much as digits as its factorization.

3354644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3354644160 is about 57919.2900508976. The cubic root of 3354644160 is about 1496.9782367188.

The spelling of 3354644160 in words is "three billion, three hundred fifty-four million, six hundred forty-four thousand, one hundred sixty".