3252335036640 has 192 divisors, whose sum is σ = 10578079733760. Its totient is φ = 839094405120.

The previous prime is 3252335036633. The next prime is 3252335036641. The reversal of 3252335036640 is 466305332523.

It is a super-2 number, since 2×3252335036640² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3252335036592 and 3252335036601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252335036641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61829871 + ... + 61882449.

It is an arithmetic number, because the mean of its divisors is an integer number (55094165280).

Almost surely, 2^{3252335036640} is an apocalyptic number.

3252335036640 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 3252335036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289039866880).

3252335036640 is an abundant number, since it is smaller than the sum of its proper divisors (7325744697120).

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

3252335036640 is a wasteful number, since it uses less digits than its factorization.

3252335036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56785 (or 56777 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 3252335036640 in words is "three trillion, two hundred fifty-two billion, three hundred thirty-five million, thirty-six thousand, six hundred forty".