345036002400 has 432 divisors, whose sum is σ = 1317044610000. Its totient is φ = 87165020160.

The previous prime is 345036002369. The next prime is 345036002401. The reversal of 345036002400 is 4200630543.

345036002400 is a `hidden beast` number, since 3 + 4 + 50 + 3 + 600 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345036002401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7775476 + ... + 7819724.

It is an arithmetic number, because the mean of its divisors is an integer number (3048714375).

Almost surely, 2^345036002400 is an apocalyptic number.

345036002400 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 345036002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658522305000).

345036002400 is an abundant number, since it is smaller than the sum of its proper divisors (972008607600).

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

345036002400 is a wasteful number, since it uses less digits than its factorization.

345036002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44316 (or 44278 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 345036002400 its reverse (4200630543), we get a palindrome (349236632943).

The spelling of 345036002400 in words is "three hundred forty-five billion, thirty-six million, two thousand, four hundred".