345749040 has 320 divisors, whose sum is σ = 1466572800. Its totient is φ = 72907776.

The previous prime is 345749003. The next prime is 345749071. The reversal of 345749040 is 40947543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345748986 and 345749004.

It is a congruent number.

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, 195681 + ... + 197439.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2^345749040 is an apocalyptic number.

345749040 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 345749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733286400).

345749040 is an abundant number, since it is smaller than the sum of its proper divisors (1120823760).

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

345749040 is a wasteful number, since it uses less digits than its factorization.

345749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 345749040 is about 18594.3281674816. The cubic root of 345749040 is about 701.8651212852.

The spelling of 345749040 in words is "three hundred forty-five million, seven hundred forty-nine thousand, forty".