3228207253152 has 384 divisors, whose sum is σ = 10289791895040. Its totient is φ = 866545827840.

The previous prime is 3228207253147. The next prime is 3228207253171. The reversal of 3228207253152 is 2513527028223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317201088 + ... + 317211264.

It is an arithmetic number, because the mean of its divisors is an integer number (26796333060).

Almost surely, 2^{3228207253152} is an apocalyptic number.

3228207253152 is a gapful number since it is divisible by the number (32) 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 3228207253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144895947520).

3228207253152 is an abundant number, since it is smaller than the sum of its proper divisors (7061584641888).

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

3228207253152 is a wasteful number, since it uses less digits than its factorization.

3228207253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 3228207253152 in words is "three trillion, two hundred twenty-eight billion, two hundred seven million, two hundred fifty-three thousand, one hundred fifty-two".