34682974200 has 1152 divisors, whose sum is σ = 149615424000. Its totient is φ = 7344691200.

The previous prime is 34682974181. The next prime is 34682974217. The reversal of 34682974200 is 247928643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 249517731 + ... + 249517869.

It is an arithmetic number, because the mean of its divisors is an integer number (129874500).

Almost surely, 2^34682974200 is an apocalyptic number.

34682974200 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 34682974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712000).

34682974200 is an abundant number, since it is smaller than the sum of its proper divisors (114932449800).

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

34682974200 is a wasteful number, since it uses less digits than its factorization.

34682974200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34682974200 in words is "thirty-four billion, six hundred eighty-two million, nine hundred seventy-four thousand, two hundred".