34145913600 has 324 divisors, whose sum is σ = 124686665376. Its totient is φ = 8911134720.

The previous prime is 34145913569. The next prime is 34145913623. The reversal of 34145913600 is 631954143.

34145913600 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 591 + 3 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2700894 + ... + 2713506.

Almost surely, 2^34145913600 is an apocalyptic number.

34145913600 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 34145913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62343332688).

34145913600 is an abundant number, since it is smaller than the sum of its proper divisors (90540751776).

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

34145913600 is a wasteful number, since it uses less digits than its factorization.

34145913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 34145913600 in words is "thirty-four billion, one hundred forty-five million, nine hundred thirteen thousand, six hundred".