34402000140 has 288 divisors, whose sum is σ = 109716332544. Its totient is φ = 8715133440.

The previous prime is 34402000133. The next prime is 34402000159. The reversal of 34402000140 is 4100020443.

It is a super-2 number, since 2×34402000140² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93738237 + ... + 93738603.

It is an arithmetic number, because the mean of its divisors is an integer number (380959488).

Almost surely, 2^34402000140 is an apocalyptic number.

34402000140 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 34402000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54858166272).

34402000140 is an abundant number, since it is smaller than the sum of its proper divisors (75314332404).

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

34402000140 is a wasteful number, since it uses less digits than its factorization.

34402000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34402000140 its reverse (4100020443), we get a palindrome (38502020583).

The spelling of 34402000140 in words is "thirty-four billion, four hundred two million, one hundred forty", and thus it is an aban number.