345754400 has 216 divisors, whose sum is σ = 950407920. Its totient is φ = 122411520.

The previous prime is 345754393. The next prime is 345754403. The reversal of 345754400 is 4457543.

It is a super-2 number, since 2×345754400² = 239092210238720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (345754403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8040779 + ... + 8040821.

Almost surely, 2^345754400 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 345754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475203960).

345754400 is an abundant number, since it is smaller than the sum of its proper divisors (604653520).

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

345754400 is a wasteful number, since it uses less digits than its factorization.

345754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 345754400 is about 18594.4722968951. The cubic root of 345754400 is about 701.8687481718.

The spelling of 345754400 in words is "three hundred forty-five million, seven hundred fifty-four thousand, four hundred".