34889931900 has 180 divisors, whose sum is σ = 117000141720. Its totient is φ = 8983094400.

The previous prime is 34889931899. The next prime is 34889931907. The reversal of 34889931900 is 913998843.

34889931900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×34889931900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34889931907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 160635 + ... + 309165.

Almost surely, 2^34889931900 is an apocalyptic number.

34889931900 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 34889931900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58500070860).

34889931900 is an abundant number, since it is smaller than the sum of its proper divisors (82110209820).

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

34889931900 is a wasteful number, since it uses less digits than its factorization.

34889931900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148586 (or 148570 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 34889931900 in words is "thirty-four billion, eight hundred eighty-nine million, nine hundred thirty-one thousand, nine hundred".