34952140800000 has 1080 divisors, whose sum is σ = 127623392455104. Its totient is φ = 9216000000000.

The previous prime is 34952140799981. The next prime is 34952140800023. The reversal of 34952140800000 is 804125943.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46540799625 + ... + 46540800375.

Almost surely, 2^{34952140800000} is an apocalyptic number.

34952140800000 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 34952140800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63811696227552).

34952140800000 is an abundant number, since it is smaller than the sum of its proper divisors (92671251655104).

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

34952140800000 is an frugal number, since it uses more digits than its factorization.

34952140800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 34952140800000 its reverse (804125943), we get a palindrome (34952944925943).

The spelling of 34952140800000 in words is "thirty-four trillion, nine hundred fifty-two billion, one hundred forty million, eight hundred thousand".