34250736925440 has 864 divisors, whose sum is σ = 138844630020096. Its totient is φ = 7632815063040.

The previous prime is 34250736925429. The next prime is 34250736925463. The reversal of 34250736925440 is 4452963705243.

34250736925440 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 0 + 7 + 3 + 6 + 92 + 544 + 0 = 666.

It is a super-2 number, since 2×34250736925440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996773860 + ... + 996808220.

It is an arithmetic number, because the mean of its divisors is an integer number (160699803264).

Almost surely, 2^{34250736925440} is an apocalyptic number.

34250736925440 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 34250736925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69422315010048).

34250736925440 is an abundant number, since it is smaller than the sum of its proper divisors (104593893094656).

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

34250736925440 is a wasteful number, since it uses less digits than its factorization.

34250736925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34705 (or 34688 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 34250736925440 in words is "thirty-four trillion, two hundred fifty billion, seven hundred thirty-six million, nine hundred twenty-five thousand, four hundred forty".