34829964000 has 576 divisors, whose sum is σ = 140162218560. Its totient is φ = 8120217600.

The previous prime is 34829963999. The next prime is 34829964011. The reversal of 34829964000 is 46992843.

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 95 ways as a sum of consecutive naturals, for example, 8890042 + ... + 8893958.

It is an arithmetic number, because the mean of its divisors is an integer number (243337185).

Almost surely, 2^34829964000 is an apocalyptic number.

34829964000 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 34829964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70081109280).

34829964000 is an abundant number, since it is smaller than the sum of its proper divisors (105332254560).

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

34829964000 is a wasteful number, since it uses less digits than its factorization.

34829964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34829964000 in words is "thirty-four billion, eight hundred twenty-nine million, nine hundred sixty-four thousand".