345428448820 has 576 divisors, whose sum is σ = 963253057536. Its totient is φ = 103035663360.

The previous prime is 345428448811. The next prime is 345428448917. The reversal of 345428448820 is 28844824543.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3228303207 + ... + 3228303313.

It is an arithmetic number, because the mean of its divisors is an integer number (1672314336).

Almost surely, 2^345428448820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345428448820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481626528768).

345428448820 is an abundant number, since it is smaller than the sum of its proper divisors (617824608716).

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

345428448820 is a wasteful number, since it uses less digits than its factorization.

345428448820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 52.

The spelling of 345428448820 in words is "three hundred forty-five billion, four hundred twenty-eight million, four hundred forty-eight thousand, eight hundred twenty".