34369920 has 384 divisors, whose sum is σ = 140343840. Its totient is φ = 7962624.

The previous prime is 34369897. The next prime is 34369921. The reversal of 34369920 is 2996343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34369921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021752 + ... + 2021768.

Almost surely, 2^34369920 is an apocalyptic number.

34369920 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 34369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

34369920 is an abundant number, since it is smaller than the sum of its proper divisors (105973920).

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

34369920 is a wasteful number, since it uses less digits than its factorization.

34369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 34369920 is about 5862.5864599168. The cubic root of 34369920 is about 325.1318439430.

It can be divided in two parts, 3 and 4369920, that multiplied together give a triangular number (13109760 = T₅₁₂₀).

The spelling of 34369920 in words is "thirty-four million, three hundred sixty-nine thousand, nine hundred twenty".