3450657120 has 192 divisors, whose sum is σ = 11483265024. Its totient is φ = 869621760.

The previous prime is 3450657109. The next prime is 3450657137. The reversal of 3450657120 is 217560543.

3450657120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637144 + ... + 642536.

It is an arithmetic number, because the mean of its divisors is an integer number (59808672).

Almost surely, 2^3450657120 is an apocalyptic number.

3450657120 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 3450657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741632512).

3450657120 is an abundant number, since it is smaller than the sum of its proper divisors (8032607904).

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

3450657120 is a wasteful number, since it uses less digits than its factorization.

3450657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 3450657120 is about 58742.2941329329. The cubic root of 3450657120 is about 1511.1257368506.

The spelling of 3450657120 in words is "three billion, four hundred fifty million, six hundred fifty-seven thousand, one hundred twenty".