3450432960 has 336 divisors, whose sum is σ = 12884298336. Its totient is φ = 842489856.

The previous prime is 3450432943. The next prime is 3450432983. The reversal of 3450432960 is 692340543.

3450432960 is a `hidden beast` number, since 34 + 504 + 32 + 96 + 0 = 666.

3450432960 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 super-2 number, since 2×3450432960² = 23810975222908723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5877787 + ... + 5878373.

It is an arithmetic number, because the mean of its divisors is an integer number (38346126).

Almost surely, 2^3450432960 is an apocalyptic number.

3450432960 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 3450432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442149168).

3450432960 is an abundant number, since it is smaller than the sum of its proper divisors (9433865376).

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

3450432960 is a wasteful number, since it uses less digits than its factorization.

3450432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3450432960 is about 58740.3861070048. The cubic root of 3450432960 is about 1511.0930144571.

The spelling of 3450432960 in words is "three billion, four hundred fifty million, four hundred thirty-two thousand, nine hundred sixty".