3450390751080 has 960 divisors, whose sum is σ = 14418175305600. Its totient is φ = 724631132160.

The previous prime is 3450390751079. The next prime is 3450390751103. The reversal of 3450390751080 is 801570930543.

3450390751080 is a `hidden beast` number, since 3 + 4 + 50 + 3 + 9 + 0 + 7 + 510 + 80 = 666.

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 239 ways as a sum of consecutive naturals, for example, 877736715 + ... + 877740645.

It is an arithmetic number, because the mean of its divisors is an integer number (15018932610).

Almost surely, 2^{3450390751080} is an apocalyptic number.

3450390751080 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 3450390751080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209087652800).

3450390751080 is an abundant number, since it is smaller than the sum of its proper divisors (10967784554520).

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

3450390751080 is a wasteful number, since it uses less digits than its factorization.

3450390751080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3450390751080 in words is "three trillion, four hundred fifty billion, three hundred ninety million, seven hundred fifty-one thousand, eighty".