34234986240 has 1296 divisors, whose sum is σ = 156234431808. Its totient is φ = 6738149376.

The previous prime is 34234986217. The next prime is 34234986251. The reversal of 34234986240 is 4268943243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302964424 + ... + 302964536.

Almost surely, 2^34234986240 is an apocalyptic number.

34234986240 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 34234986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78117215904).

34234986240 is an abundant number, since it is smaller than the sum of its proper divisors (121999445568).

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

34234986240 is a wasteful number, since it uses less digits than its factorization.

34234986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34234986240 in words is "thirty-four billion, two hundred thirty-four million, nine hundred eighty-six thousand, two hundred forty".