34991334000 has 480 divisors, whose sum is σ = 140261022720. Its totient is φ = 7964352000.

The previous prime is 34991333987. The next prime is 34991334013. The reversal of 34991334000 is 43319943.

34991334000 is a `hidden beast` number, since 34 + 99 + 133 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34991333987) and next prime (34991334013).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41705581 + ... + 41706419.

It is an arithmetic number, because the mean of its divisors is an integer number (292210464).

Almost surely, 2^34991334000 is an apocalyptic number.

34991334000 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 34991334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70130511360).

34991334000 is an abundant number, since it is smaller than the sum of its proper divisors (105269688720).

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

34991334000 is a wasteful number, since it uses less digits than its factorization.

34991334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 34991334000 in words is "thirty-four billion, nine hundred ninety-one million, three hundred thirty-four thousand".