34837049040 has 160 divisors (see below), whose sum is σ = 108859818240. Its totient is φ = 9215803392.

The previous prime is 34837049021. The next prime is 34837049041. The reversal of 34837049040 is 4094073843.

It is a junction number, because it is equal to n+sod(n) for n = 34837048983 and 34837049001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34837049041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17084341 + ... + 17086379.

It is an arithmetic number, because the mean of its divisors is an integer number (680373864).

Almost surely, 2^34837049040 is an apocalyptic number.

34837049040 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 34837049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54429909120).

34837049040 is an abundant number, since it is smaller than the sum of its proper divisors (74022769200).

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

34837049040 is a wasteful number, since it uses less digits than its factorization.

34837049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 34837049040 in words is "thirty-four billion, eight hundred thirty-seven million, forty-nine thousand, forty".