34374432213000 has 1024 divisors, whose sum is σ = 136995751526400. Its totient is φ = 7891804800000.

The previous prime is 34374432212993. The next prime is 34374432213071. The reversal of 34374432213000 is 31223447343.

34374432213000 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 4 + 432 + 213 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×34374432213000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 689906089 + ... + 689955911.

It is an arithmetic number, because the mean of its divisors is an integer number (133784913600).

Almost surely, 2^{34374432213000} is an apocalyptic number.

34374432213000 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 34374432213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68497875763200).

34374432213000 is an abundant number, since it is smaller than the sum of its proper divisors (102621319313400).

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

34374432213000 is a wasteful number, since it uses less digits than its factorization.

34374432213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49988 (or 49968 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 34374432213000 in words is "thirty-four trillion, three hundred seventy-four billion, four hundred thirty-two million, two hundred thirteen thousand".