345729780 has 144 divisors (see below), whose sum is σ = 1149954624. Its totient is φ = 83381760.

The previous prime is 345729779. The next prime is 345729803. The reversal of 345729780 is 87927543.

345729780 is a `hidden beast` number, since 3 + 4 + 572 + 9 + 78 + 0 = 666.

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

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, 560032 + ... + 560648.

It is an arithmetic number, because the mean of its divisors is an integer number (7985796).

Almost surely, 2^345729780 is an apocalyptic number.

345729780 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 345729780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574977312).

345729780 is an abundant number, since it is smaller than the sum of its proper divisors (804224844).

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

345729780 is a wasteful number, since it uses less digits than its factorization.

345729780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 345729780 is about 18593.8102604066. The cubic root of 345729780 is about 701.8520885441.

The spelling of 345729780 in words is "three hundred forty-five million, seven hundred twenty-nine thousand, seven hundred eighty".