345142000400 has 60 divisors (see below), whose sum is σ = 833836251600. Its totient is φ = 137285504640.

The previous prime is 345142000393. The next prime is 345142000409. The reversal of 345142000400 is 4000241543.

It is a super-2 number, since 2×345142000400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345142000409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338610 + ... + 2481809.

It is an arithmetic number, because the mean of its divisors is an integer number (13897270860).

Almost surely, 2^345142000400 is an apocalyptic number.

It is an amenable number.

345142000400 is an abundant number, since it is smaller than the sum of its proper divisors (488694251200).

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

345142000400 is a wasteful number, since it uses less digits than its factorization.

345142000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820616 (or 4820605 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 345142000400 its reverse (4000241543), we get a palindrome (349142241943).

The spelling of 345142000400 in words is "three hundred forty-five billion, one hundred forty-two million, four hundred", and thus it is an aban number.