34032428640 has 360 divisors, whose sum is σ = 139717881072. Its totient is φ = 7778695680.

The previous prime is 34032428629. The next prime is 34032428659. The reversal of 34032428640 is 4682423043.

34032428640 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 2 + 4 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 34032428595 and 34032428604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 608245 + ... + 661835.

Almost surely, 2^34032428640 is an apocalyptic number.

34032428640 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 34032428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69858940536).

34032428640 is an abundant number, since it is smaller than the sum of its proper divisors (105685452432).

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

34032428640 is a wasteful number, since it uses less digits than its factorization.

34032428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53632 (or 53608 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34032428640 in words is "thirty-four billion, thirty-two million, four hundred twenty-eight thousand, six hundred forty".