3450943077120 has 1296 divisors, whose sum is σ = 15555588921600. Its totient is φ = 717024337920.

The previous prime is 3450943077103. The next prime is 3450943077151. The reversal of 3450943077120 is 217703490543.

3450943077120 is a `hidden beast` number, since 3 + 450 + 9 + 4 + 3 + 0 + 77 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263444331 + ... + 263457429.

Almost surely, 2^{3450943077120} is an apocalyptic number.

3450943077120 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 3450943077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777794460800).

3450943077120 is an abundant number, since it is smaller than the sum of its proper divisors (12104645844480).

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

3450943077120 is a wasteful number, since it uses less digits than its factorization.

3450943077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3450943077120 in words is "three trillion, four hundred fifty billion, nine hundred forty-three million, seventy-seven thousand, one hundred twenty".