34149697200 has 150 divisors (see below), whose sum is σ = 122560639124. Its totient is φ = 9106577280.

The previous prime is 34149697171. The next prime is 34149697217. The reversal of 34149697200 is 279694143.

It is a happy number.

34149697200 is a `hidden beast` number, since 341 + 49 + 69 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 494602 + ... + 559401.

Almost surely, 2^34149697200 is an apocalyptic number.

34149697200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34149697200 is an abundant number, since it is smaller than the sum of its proper divisors (88410941924).

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

34149697200 is a wasteful number, since it uses less digits than its factorization.

34149697200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054033 (or 1054013 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 34149697200 in words is "thirty-four billion, one hundred forty-nine million, six hundred ninety-seven thousand, two hundred".