34293972240 has 640 divisors, whose sum is σ = 133005058560. Its totient is φ = 8051097600.

The previous prime is 34293972221. The next prime is 34293972247. The reversal of 34293972240 is 4227939243.

34293972240 is a `hidden beast` number, since 34 + 2 + 9 + 397 + 224 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34293972247) 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, 142298520 + ... + 142298760.

It is an arithmetic number, because the mean of its divisors is an integer number (207820404).

Almost surely, 2^34293972240 is an apocalyptic number.

34293972240 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 34293972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66502529280).

34293972240 is an abundant number, since it is smaller than the sum of its proper divisors (98711086320).

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

34293972240 is a wasteful number, since it uses less digits than its factorization.

34293972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34293972240 in words is "thirty-four billion, two hundred ninety-three million, nine hundred seventy-two thousand, two hundred forty".