3418053120 has 160 divisors (see below), whose sum is σ = 12141455040. Its totient is φ = 911462400.

The previous prime is 3418053061. The next prime is 3418053131. The reversal of 3418053120 is 213508143.

It is a happy number.

3418053120 is a `hidden beast` number, since 34 + 1 + 80 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3418053120² = 23366174262283468800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44395 + ... + 93845.

It is an arithmetic number, because the mean of its divisors is an integer number (75884094).

Almost surely, 2^3418053120 is an apocalyptic number.

3418053120 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 3418053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070727520).

3418053120 is an abundant number, since it is smaller than the sum of its proper divisors (8723401920).

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

3418053120 is an equidigital number, since it uses as much as digits as its factorization.

3418053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49483 (or 49461 counting only the distinct ones).

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

The square root of 3418053120 is about 58464.1182264814. The cubic root of 3418053120 is about 1506.3513092904.

The spelling of 3418053120 in words is "three billion, four hundred eighteen million, fifty-three thousand, one hundred twenty".