34137650274000 has 640 divisors, whose sum is σ = 135499167498240. Its totient is φ = 7200490752000.

The previous prime is 34137650273981. The next prime is 34137650274041. The reversal of 34137650274000 is 47205673143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2331958681 + ... + 2331973319.

It is an arithmetic number, because the mean of its divisors is an integer number (211717449216).

Almost surely, 2^{34137650274000} is an apocalyptic number.

34137650274000 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 34137650274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67749583749120).

34137650274000 is an abundant number, since it is smaller than the sum of its proper divisors (101361517224240).

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

34137650274000 is a wasteful number, since it uses less digits than its factorization.

34137650274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18956 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 34137650274000 in words is "thirty-four trillion, one hundred thirty-seven billion, six hundred fifty million, two hundred seventy-four thousand".