34561472 has 42 divisors (see below), whose sum is σ = 75401424. Its totient is φ = 15706240.

The previous prime is 34561469. The next prime is 34561477. The reversal of 34561472 is 27416543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34561477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5513 + ... + 9975.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^34561472 is an apocalyptic number.

34561472 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 34561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37700712).

34561472 is an abundant number, since it is smaller than the sum of its proper divisors (40839952).

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

34561472 is a wasteful number, since it uses less digits than its factorization.

34561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4476 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 34561472 is about 5878.9005774890. The cubic root of 34561472 is about 325.7347384891.

Subtracting from 34561472 its reverse (27416543), we obtain a square (7144929 = 2673²).

The spelling of 34561472 in words is "thirty-four million, five hundred sixty-one thousand, four hundred seventy-two".