34535283000 has 128 divisors (see below), whose sum is σ = 108316016640. Its totient is φ = 9161040000.

The previous prime is 34535282993. The next prime is 34535283007. The reversal of 34535283000 is 38253543.

It is an interprime number because it is at equal distance from previous prime (34535282993) and next prime (34535283007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34535283007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542865 + ... + 603135.

It is an arithmetic number, because the mean of its divisors is an integer number (846218880).

Almost surely, 2^34535283000 is an apocalyptic number.

34535283000 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 34535283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54158008320).

34535283000 is an abundant number, since it is smaller than the sum of its proper divisors (73780733640).

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

34535283000 is a wasteful number, since it uses less digits than its factorization.

34535283000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60486 (or 60472 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 34535283000 in words is "thirty-four billion, five hundred thirty-five million, two hundred eighty-three thousand".