34441731072 has 264 divisors, whose sum is σ = 119643056000. Its totient is φ = 9322242048.

The previous prime is 34441731047. The next prime is 34441731119. The reversal of 34441731072 is 27013714443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211679 + ... + 1239777.

Almost surely, 2^34441731072 is an apocalyptic number.

34441731072 is a gapful number since it is divisible by the number (32) 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 34441731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59821528000).

34441731072 is an abundant number, since it is smaller than the sum of its proper divisors (85201324928).

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

34441731072 is a wasteful number, since it uses less digits than its factorization.

34441731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28151 (or 28130 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34441731072 in words is "thirty-four billion, four hundred forty-one million, seven hundred thirty-one thousand, seventy-two".