34458512400 has 480 divisors, whose sum is σ = 133717691520. Its totient is φ = 8377067520.

The previous prime is 34458512381. The next prime is 34458512437. The reversal of 34458512400 is 421585443.

It is a happy number.

34458512400 is a `hidden beast` number, since 34 + 4 + 585 + 1 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11651722 + ... + 11654678.

It is an arithmetic number, because the mean of its divisors is an integer number (278578524).

Almost surely, 2^34458512400 is an apocalyptic number.

34458512400 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 34458512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66858845760).

34458512400 is an abundant number, since it is smaller than the sum of its proper divisors (99259179120).

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

34458512400 is a wasteful number, since it uses less digits than its factorization.

34458512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34458512400 in words is "thirty-four billion, four hundred fifty-eight million, five hundred twelve thousand, four hundred".