34983731200000 has 816 divisors, whose sum is σ = 97535157162912. Its totient is φ = 12438732800000.

The previous prime is 34983731199983. The next prime is 34983731200007. The reversal of 34983731200000 is 213738943.

It is a super-2 number, since 2×34983731200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34983731200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119398399854 + ... + 119398400146.

Almost surely, 2^{34983731200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34983731200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48767578581456).

34983731200000 is an abundant number, since it is smaller than the sum of its proper divisors (62551425962912).

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

34983731200000 is an frugal number, since it uses more digits than its factorization.

34983731200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

Adding to 34983731200000 its reverse (213738943), we get a palindrome (34983944938943).

The spelling of 34983731200000 in words is "thirty-four trillion, nine hundred eighty-three billion, seven hundred thirty-one million, two hundred thousand".