3351214080 has 768 divisors, whose sum is σ = 13586227200. Its totient is φ = 778567680.

The previous prime is 3351214079. The next prime is 3351214093. The reversal of 3351214080 is 804121533.

It is a happy number.

3351214080 is a `hidden beast` number, since 3 + 3 + 512 + 140 + 8 + 0 = 666.

3351214080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3351214080² = 22461271619980492800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108103665 + ... + 108103695.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^3351214080 is an apocalyptic number.

3351214080 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 3351214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3351214080 is an abundant number, since it is smaller than the sum of its proper divisors (10235013120).

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

3351214080 is a wasteful number, since it uses less digits than its factorization.

3351214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3351214080 is about 57889.6716176556. The cubic root of 3351214080 is about 1496.4678491354.

The spelling of 3351214080 in words is "three billion, three hundred fifty-one million, two hundred fourteen thousand, eighty".