34989276240 has 480 divisors, whose sum is σ = 133646088960. Its totient is φ = 8396365824.

The previous prime is 34989276239. The next prime is 34989276241. The reversal of 34989276240 is 4267298943.

34989276240 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 9 + 2 + 7 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34989276239) and next prime (34989276241).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34989276241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14356302 + ... + 14358738.

It is an arithmetic number, because the mean of its divisors is an integer number (278429352).

Almost surely, 2^34989276240 is an apocalyptic number.

34989276240 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 34989276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66823044480).

34989276240 is an abundant number, since it is smaller than the sum of its proper divisors (98656812720).

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

34989276240 is a wasteful number, since it uses less digits than its factorization.

34989276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34989276240 in words is "thirty-four billion, nine hundred eighty-nine million, two hundred seventy-six thousand, two hundred forty".