3233174730240 has 960 divisors, whose sum is σ = 13366784471040. Its totient is φ = 660128071680.

The previous prime is 3233174730239. The next prime is 3233174730277. The reversal of 3233174730240 is 420374713323.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151646301 + ... + 151667619.

It is an arithmetic number, because the mean of its divisors is an integer number (13923733824).

Almost surely, 2^{3233174730240} is an apocalyptic number.

3233174730240 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 3233174730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683392235520).

3233174730240 is an abundant number, since it is smaller than the sum of its proper divisors (10133609740800).

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

3233174730240 is a wasteful number, since it uses less digits than its factorization.

3233174730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The spelling of 3233174730240 in words is "three trillion, two hundred thirty-three billion, one hundred seventy-four million, seven hundred thirty thousand, two hundred forty".