34254860640 has 384 divisors, whose sum is σ = 144878533632. Its totient is φ = 6570270720.

The previous prime is 34254860611. The next prime is 34254860677. The reversal of 34254860640 is 4606845243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34254860592 and 34254860601.

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, 444834 + ... + 516126.

It is an arithmetic number, because the mean of its divisors is an integer number (377287848).

Almost surely, 2^34254860640 is an apocalyptic number.

34254860640 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 34254860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72439266816).

34254860640 is an abundant number, since it is smaller than the sum of its proper divisors (110623672992).

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

34254860640 is a wasteful number, since it uses less digits than its factorization.

34254860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71342 (or 71334 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 34254860640 in words is "thirty-four billion, two hundred fifty-four million, eight hundred sixty thousand, six hundred forty".