34983312892440 has 256 divisors, whose sum is σ = 116152531200000. Its totient is φ = 8357901926400.

The previous prime is 34983312892421. The next prime is 34983312892499. The reversal of 34983312892440 is 4429821338943.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120208305 + ... + 120498975.

It is an arithmetic number, because the mean of its divisors is an integer number (453720825000).

Almost surely, 2^{34983312892440} is an apocalyptic number.

34983312892440 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 34983312892440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58076265600000).

34983312892440 is an abundant number, since it is smaller than the sum of its proper divisors (81169218307560).

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

34983312892440 is a wasteful number, since it uses less digits than its factorization.

34983312892440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292018 (or 292014 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 34983312892440 in words is "thirty-four trillion, nine hundred eighty-three billion, three hundred twelve million, eight hundred ninety-two thousand, four hundred forty".