34694231040 has 1760 divisors, whose sum is σ = 162641191680. Its totient is φ = 6879707136.

The previous prime is 34694231029. The next prime is 34694231051. The reversal of 34694231040 is 4013249643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34694231029) and next prime (34694231051).

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

It is a junction number, because it is equal to n+sod(n) for n = 34694230986 and 34694231004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 937681902 + ... + 937681938.

It is an arithmetic number, because the mean of its divisors is an integer number (92409768).

Almost surely, 2^34694231040 is an apocalyptic number.

34694231040 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 34694231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81320595840).

34694231040 is an abundant number, since it is smaller than the sum of its proper divisors (127946960640).

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

34694231040 is a wasteful number, since it uses less digits than its factorization.

34694231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34694231040 in words is "thirty-four billion, six hundred ninety-four million, two hundred thirty-one thousand, forty".