34735753140 has 288 divisors, whose sum is σ = 108833155200. Its totient is φ = 8270760960.

The previous prime is 34735753123. The next prime is 34735753147. The reversal of 34735753140 is 4135753743.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34735753092 and 34735753101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34735753147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176323522 + ... + 176323718.

It is an arithmetic number, because the mean of its divisors is an integer number (377892900).

Almost surely, 2^34735753140 is an apocalyptic number.

34735753140 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 34735753140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54416577600).

34735753140 is an abundant number, since it is smaller than the sum of its proper divisors (74097402060).

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

34735753140 is a wasteful number, since it uses less digits than its factorization.

34735753140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 34735753140 in words is "thirty-four billion, seven hundred thirty-five million, seven hundred fifty-three thousand, one hundred forty".