34893747000 has 1280 divisors, whose sum is σ = 152216064000. Its totient is φ = 7278336000.

The previous prime is 34893746983. The next prime is 34893747061. The reversal of 34893747000 is 74739843.

It is a happy number.

It is a super-3 number, since 3×34893747000³ (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441692961 + ... + 441693039.

It is an arithmetic number, because the mean of its divisors is an integer number (118918800).

Almost surely, 2^34893747000 is an apocalyptic number.

34893747000 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 34893747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76108032000).

34893747000 is an abundant number, since it is smaller than the sum of its proper divisors (117322317000).

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

34893747000 is a wasteful number, since it uses less digits than its factorization.

34893747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 34893747000 in words is "thirty-four billion, eight hundred ninety-three million, seven hundred forty-seven thousand".