345425003400 has 192 divisors, whose sum is σ = 1079050936320. Its totient is φ = 91406880000.

The previous prime is 345425003389. The next prime is 345425003419. The reversal of 345425003400 is 4300524543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 73445449 + ... + 73450151.

It is an arithmetic number, because the mean of its divisors is an integer number (5620056960).

Almost surely, 2^345425003400 is an apocalyptic number.

345425003400 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 345425003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539525468160).

345425003400 is an abundant number, since it is smaller than the sum of its proper divisors (733625932920).

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

345425003400 is a wasteful number, since it uses less digits than its factorization.

345425003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 345425003400 its reverse (4300524543), we get a palindrome (349725527943).

The spelling of 345425003400 in words is "three hundred forty-five billion, four hundred twenty-five million, three thousand, four hundred".