3320215142400 has 1152 divisors, whose sum is σ = 13293196993440. Its totient is φ = 816646717440.

The previous prime is 3320215142329. The next prime is 3320215142407. The reversal of 3320215142400 is 42415120233.

3320215142400 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 215 + 1 + 42 + 400 = 666.

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

It is a super-2 number, since 2×3320215142400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3320215142407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852159 + ... + 2587853441.

Almost surely, 2^{3320215142400} is an apocalyptic number.

3320215142400 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 3320215142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646598496720).

3320215142400 is an abundant number, since it is smaller than the sum of its proper divisors (9972981851040).

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

3320215142400 is an equidigital number, since it uses as much as digits as its factorization.

3320215142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 3320215142400 in words is "three trillion, three hundred twenty billion, two hundred fifteen million, one hundred forty-two thousand, four hundred".