34075699200 has 432 divisors, whose sum is σ = 123830785260. Its totient is φ = 8953528320.

The previous prime is 34075699183. The next prime is 34075699223. The reversal of 34075699200 is 299657043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3110962176 + 30964737024 = 55776^2 + 175968^2 .

It is a super-2 number, since 2×34075699200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33637894 + ... + 33638906.

Almost surely, 2^34075699200 is an apocalyptic number.

34075699200 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 34075699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61915392630).

34075699200 is an abundant number, since it is smaller than the sum of its proper divisors (89755086060).

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

34075699200 is a wasteful number, since it uses less digits than its factorization.

34075699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 34075699200 in words is "thirty-four billion, seventy-five million, six hundred ninety-nine thousand, two hundred".