34121952 has 96 divisors (see below), whose sum is σ = 101072160. Its totient is φ = 11197440.

The previous prime is 34121947. The next prime is 34121957. The reversal of 34121952 is 25912143.

It is an interprime number because it is at equal distance from previous prime (34121947) and next prime (34121957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62802 + ... + 63342.

It is an arithmetic number, because the mean of its divisors is an integer number (1052835).

Almost surely, 2^34121952 is an apocalyptic number.

34121952 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 34121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50536080).

34121952 is an abundant number, since it is smaller than the sum of its proper divisors (66950208).

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

34121952 is a wasteful number, since it uses less digits than its factorization.

34121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 34121952 is about 5841.3998322320. The cubic root of 34121952 is about 324.3480484808.

The spelling of 34121952 in words is "thirty-four million, one hundred twenty-one thousand, nine hundred fifty-two".