34700672 has 64 divisors (see below), whose sum is σ = 75349440. Its totient is φ = 15851520.

The previous prime is 34700663. The next prime is 34700681. The reversal of 34700672 is 27600743.

It is an interprime number because it is at equal distance from previous prime (34700663) and next prime (34700681).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80297 + ... + 80727.

It is an arithmetic number, because the mean of its divisors is an integer number (1177335).

Almost surely, 2^34700672 is an apocalyptic number.

34700672 is a gapful number since it is divisible by the number (32) 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 34700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674720).

34700672 is an abundant number, since it is smaller than the sum of its proper divisors (40648768).

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

34700672 is a wasteful number, since it uses less digits than its factorization.

34700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 34700672 is about 5890.7276290795. The cubic root of 34700672 is about 326.1714631154.

The spelling of 34700672 in words is "thirty-four million, seven hundred thousand, six hundred seventy-two".