34528292640 has 432 divisors, whose sum is σ = 125574478848. Its totient is φ = 8637705216.

The previous prime is 34528292573. The next prime is 34528292671. The reversal of 34528292640 is 4629282543.

34528292640 is a `hidden beast` number, since 34 + 528 + 2 + 92 + 6 + 4 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 66019419 + ... + 66019941.

It is an arithmetic number, because the mean of its divisors is an integer number (290681664).

Almost surely, 2^34528292640 is an apocalyptic number.

34528292640 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 34528292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62787239424).

34528292640 is an abundant number, since it is smaller than the sum of its proper divisors (91046186208).

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

34528292640 is a wasteful number, since it uses less digits than its factorization.

34528292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34528292640 in words is "thirty-four billion, five hundred twenty-eight million, two hundred ninety-two thousand, six hundred forty".