345530237400 has 480 divisors, whose sum is σ = 1261992441600. Its totient is φ = 87450105600.

The previous prime is 345530237369. The next prime is 345530237401. The reversal of 345530237400 is 4732035543.

345530237400 is a `hidden beast` number, since 34 + 5 + 530 + 23 + 74 + 0 + 0 = 666.

It is a super-2 number, since 2×345530237400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345530237401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48807061 + ... + 48814139.

It is an arithmetic number, because the mean of its divisors is an integer number (2629150920).

Almost surely, 2^345530237400 is an apocalyptic number.

345530237400 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 345530237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630996220800).

345530237400 is an abundant number, since it is smaller than the sum of its proper divisors (916462204200).

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

345530237400 is a wasteful number, since it uses less digits than its factorization.

345530237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 345530237400 in words is "three hundred forty-five billion, five hundred thirty million, two hundred thirty-seven thousand, four hundred".