3453207120 has 640 divisors, whose sum is σ = 13884825600. Its totient is φ = 780595200.

The previous prime is 3453207113. The next prime is 3453207137. The reversal of 3453207120 is 217023543.

3453207120 is a `hidden beast` number, since 3 + 4 + 532 + 0 + 7 + 120 = 666.

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 127 ways as a sum of consecutive naturals, for example, 38800036 + ... + 38800124.

It is an arithmetic number, because the mean of its divisors is an integer number (21695040).

Almost surely, 2^3453207120 is an apocalyptic number.

3453207120 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 3453207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942412800).

3453207120 is an abundant number, since it is smaller than the sum of its proper divisors (10431618480).

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

3453207120 is a wasteful number, since it uses less digits than its factorization.

3453207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3453207120 is about 58763.9950990400. The cubic root of 3453207120 is about 1511.4978806370.

The spelling of 3453207120 in words is "three billion, four hundred fifty-three million, two hundred seven thousand, one hundred twenty".