34312251400 has 96 divisors (see below), whose sum is σ = 91219608000. Its totient is φ = 11758129920.

The previous prime is 34312251383. The next prime is 34312251419. The reversal of 34312251400 is 415221343.

It is a super-2 number, since 2×34312251400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3339471 + ... + 3349729.

It is an arithmetic number, because the mean of its divisors is an integer number (950204250).

Almost surely, 2^34312251400 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 34312251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45609804000).

34312251400 is an abundant number, since it is smaller than the sum of its proper divisors (56907356600).

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

34312251400 is a wasteful number, since it uses less digits than its factorization.

34312251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34312251400 its reverse (415221343), we get a palindrome (34727472743).

The spelling of 34312251400 in words is "thirty-four billion, three hundred twelve million, two hundred fifty-one thousand, four hundred".