34414632000 has 896 divisors, whose sum is σ = 146602460160. Its totient is φ = 7838208000.

The previous prime is 34414631983. The next prime is 34414632053. The reversal of 34414632000 is 23641443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122471860 + ... + 122472140.

Almost surely, 2^34414632000 is an apocalyptic number.

34414632000 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 34414632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73301230080).

34414632000 is an abundant number, since it is smaller than the sum of its proper divisors (112187828160).

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

34414632000 is an frugal number, since it uses more digits than its factorization.

34414632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34414632000 in words is "thirty-four billion, four hundred fourteen million, six hundred thirty-two thousand".