34963900 has 72 divisors (see below), whose sum is σ = 81463536. Its totient is φ = 12979200.

The previous prime is 34963897. The next prime is 34963961. The reversal of 34963900 is 936943.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 222622 + ... + 222778.

It is an arithmetic number, because the mean of its divisors is an integer number (1131438).

Almost surely, 2^34963900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34963900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40731768).

34963900 is an abundant number, since it is smaller than the sum of its proper divisors (46499636).

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

34963900 is a wasteful number, since it uses less digits than its factorization.

34963900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 34963900 is about 5913.0279891101. The cubic root of 34963900 is about 326.9941299560.

It can be divided in two parts, 3496 and 3900, that added together give a square (7396 = 86²).

The spelling of 34963900 in words is "thirty-four million, nine hundred sixty-three thousand, nine hundred".