34614972 has 144 divisors (see below), whose sum is σ = 108272640. Its totient is φ = 9525600.

The previous prime is 34614967. The next prime is 34614973. The reversal of 34614972 is 27941643.

34614972 is a `hidden beast` number, since 34 + 614 + 9 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34614973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 163947 + ... + 164157.

Almost surely, 2^34614972 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 34614972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54136320).

34614972 is an abundant number, since it is smaller than the sum of its proper divisors (73657668).

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

34614972 is a wasteful number, since it uses less digits than its factorization.

34614972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34614972 is about 5883.4489884761. The cubic root of 34614972 is about 325.9027273235.

The spelling of 34614972 in words is "thirty-four million, six hundred fourteen thousand, nine hundred seventy-two".