34489728000 has 1584 divisors, whose sum is σ = 159012008064. Its totient is φ = 7122124800.

The previous prime is 34489727981. The next prime is 34489728019. The reversal of 34489728000 is 82798443.

It is an interprime number because it is at equal distance from previous prime (34489727981) and next prime (34489728019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 733823977 + ... + 733824023.

Almost surely, 2^34489728000 is an apocalyptic number.

34489728000 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 34489728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79506004032).

34489728000 is an abundant number, since it is smaller than the sum of its proper divisors (124522280064).

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

34489728000 is a wasteful number, since it uses less digits than its factorization.

34489728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34489728000 in words is "thirty-four billion, four hundred eighty-nine million, seven hundred twenty-eight thousand".