34124731679940 has 384 divisors, whose sum is σ = 106850451456000. Its totient is φ = 8067890688000.

The previous prime is 34124731679917. The next prime is 34124731679947. The reversal of 34124731679940 is 4997613742143.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34124731679947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5341166266 + ... + 5341172654.

It is an arithmetic number, because the mean of its divisors is an integer number (278256384000).

Almost surely, 2^{34124731679940} is an apocalyptic number.

34124731679940 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 34124731679940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53425225728000).

34124731679940 is an abundant number, since it is smaller than the sum of its proper divisors (72725719776060).

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

34124731679940 is a wasteful number, since it uses less digits than its factorization.

34124731679940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 34124731679940 in words is "thirty-four trillion, one hundred twenty-four billion, seven hundred thirty-one million, six hundred seventy-nine thousand, nine hundred forty".