3524640768000 has 1728 divisors, whose sum is σ = 14468733324864. Its totient is φ = 817889280000.

The previous prime is 3524640767971. The next prime is 3524640768001. The reversal of 3524640768000 is 8670464253.

3524640768000 is a `hidden beast` number, since 3 + 524 + 6 + 40 + 7 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3524640768001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66502655974 + ... + 66502656026.

It is an arithmetic number, because the mean of its divisors is an integer number (8373109563).

Almost surely, 2^{3524640768000} is an apocalyptic number.

3524640768000 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 3524640768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234366662432).

3524640768000 is an abundant number, since it is smaller than the sum of its proper divisors (10944092556864).

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

3524640768000 is an equidigital number, since it uses as much as digits as its factorization.

3524640768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3524640768000 in words is "three trillion, five hundred twenty-four billion, six hundred forty million, seven hundred sixty-eight thousand".