34233746040 has 320 divisors, whose sum is σ = 124303687200. Its totient is φ = 8400319488.

The previous prime is 34233746021. The next prime is 34233746123. The reversal of 34233746040 is 4064733243.

34233746040 is a `hidden beast` number, since 3 + 42 + 3 + 3 + 7 + 4 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34233745986 and 34233746004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15709671 + ... + 15711849.

Almost surely, 2^34233746040 is an apocalyptic number.

34233746040 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 34233746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62151843600).

34233746040 is an abundant number, since it is smaller than the sum of its proper divisors (90069941160).

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

34233746040 is a wasteful number, since it uses less digits than its factorization.

34233746040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 34233746040 in words is "thirty-four billion, two hundred thirty-three million, seven hundred forty-six thousand, forty".