34531103040 has 224 divisors, whose sum is σ = 127965671424. Its totient is φ = 7724820480.

The previous prime is 34531103027. The next prime is 34531103051. The reversal of 34531103040 is 4030113543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34531103040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261175 + ... + 370505.

Almost surely, 2^34531103040 is an apocalyptic number.

34531103040 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 34531103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63982835712).

34531103040 is an abundant number, since it is smaller than the sum of its proper divisors (93434568384).

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

34531103040 is a wasteful number, since it uses less digits than its factorization.

34531103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109405 (or 109395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34531103040 its reverse (4030113543), we get a palindrome (38561216583).

The spelling of 34531103040 in words is "thirty-four billion, five hundred thirty-one million, one hundred three thousand, forty".