345733003770 has 128 divisors (see below), whose sum is σ = 1041449011200. Its totient is φ = 71358401280.

The previous prime is 345733003753. The next prime is 345733003871. The reversal of 345733003770 is 77300337543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158052 + ... + 846431.

It is an arithmetic number, because the mean of its divisors is an integer number (8136320400).

Almost surely, 2^345733003770 is an apocalyptic number.

345733003770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345733003770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520724505600).

345733003770 is an abundant number, since it is smaller than the sum of its proper divisors (695716007430).

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

345733003770 is a wasteful number, since it uses less digits than its factorization.

345733003770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004660.

The product of its (nonzero) digits is 555660, while the sum is 42.

The spelling of 345733003770 in words is "three hundred forty-five billion, seven hundred thirty-three million, three thousand, seven hundred seventy".