34066607400 has 672 divisors, whose sum is σ = 140519577600. Its totient is φ = 7511616000.

The previous prime is 34066607359. The next prime is 34066607417. The reversal of 34066607400 is 470666043.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29596825 + ... + 29597975.

Almost surely, 2^34066607400 is an apocalyptic number.

34066607400 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 34066607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70259788800).

34066607400 is an abundant number, since it is smaller than the sum of its proper divisors (106452970200).

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

34066607400 is a wasteful number, since it uses less digits than its factorization.

34066607400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34066607400 in words is "thirty-four billion, sixty-six million, six hundred seven thousand, four hundred".