32795034243840 has 1152 divisors, whose sum is σ = 132630909788160. Its totient is φ = 7595779276800.

The previous prime is 32795034243827. The next prime is 32795034243841. The reversal of 32795034243840 is 4834243059723.

It is a happy number.

32795034243840 is a `hidden beast` number, since 3 + 2 + 79 + 503 + 4 + 24 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32795034243841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10238847679 + ... + 10238850881.

It is an arithmetic number, because the mean of its divisors is an integer number (115130998080).

Almost surely, 2^{32795034243840} is an apocalyptic number.

32795034243840 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 32795034243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66315454894080).

32795034243840 is an abundant number, since it is smaller than the sum of its proper divisors (99835875544320).

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

32795034243840 is a wasteful number, since it uses less digits than its factorization.

32795034243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 32795034243840 in words is "thirty-two trillion, seven hundred ninety-five billion, thirty-four million, two hundred forty-three thousand, eight hundred forty".