34382874240 has 960 divisors, whose sum is σ = 147699957600. Its totient is φ = 7289118720.

The previous prime is 34382874157. The next prime is 34382874263. The reversal of 34382874240 is 4247828343.

34382874240 is a `hidden beast` number, since 343 + 8 + 287 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×34382874240³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1809624951 + ... + 1809624969.

Almost surely, 2^34382874240 is an apocalyptic number.

34382874240 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 34382874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73849978800).

34382874240 is an abundant number, since it is smaller than the sum of its proper divisors (113317083360).

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

34382874240 is a wasteful number, since it uses less digits than its factorization.

34382874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 34382874240 in words is "thirty-four billion, three hundred eighty-two million, eight hundred seventy-four thousand, two hundred forty".