34074293760 has 480 divisors, whose sum is σ = 131106206880. Its totient is φ = 8384643072.

The previous prime is 34074293741. The next prime is 34074293809. The reversal of 34074293760 is 6739247043.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×34074293760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11679822 + ... + 11682738.

It is an arithmetic number, because the mean of its divisors is an integer number (273137931).

Almost surely, 2^34074293760 is an apocalyptic number.

34074293760 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 34074293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553103440).

34074293760 is an abundant number, since it is smaller than the sum of its proper divisors (97031913120).

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

34074293760 is a wasteful number, since it uses less digits than its factorization.

34074293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 34074293760 in words is "thirty-four billion, seventy-four million, two hundred ninety-three thousand, seven hundred sixty".