34621440 has 288 divisors, whose sum is σ = 134447040. Its totient is φ = 7569408.

The previous prime is 34621429. The next prime is 34621471. The reversal of 34621440 is 4412643.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34621440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505269 + ... + 1505291.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^34621440 is an apocalyptic number.

34621440 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 34621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

34621440 is an abundant number, since it is smaller than the sum of its proper divisors (99825600).

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

34621440 is a wasteful number, since it uses less digits than its factorization.

34621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34621440 is about 5883.9986403805. The cubic root of 34621440 is about 325.9230249716.

The spelling of 34621440 in words is "thirty-four million, six hundred twenty-one thousand, four hundred forty".