34254015840 has 432 divisors, whose sum is σ = 132934510800. Its totient is φ = 8016476160.

The previous prime is 34254015833. The next prime is 34254015863. The reversal of 34254015840 is 4851045243.

It is a happy number.

34254015840 is a `hidden beast` number, since 3 + 425 + 40 + 158 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34254015795 and 34254015804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5049571 + ... + 5056349.

It is an arithmetic number, because the mean of its divisors is an integer number (307718775).

Almost surely, 2^34254015840 is an apocalyptic number.

34254015840 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 34254015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467255400).

34254015840 is an abundant number, since it is smaller than the sum of its proper divisors (98680494960).

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

34254015840 is a wasteful number, since it uses less digits than its factorization.

34254015840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34254015840 in words is "thirty-four billion, two hundred fifty-four million, fifteen thousand, eight hundred forty".