3620888248320 has 2304 divisors, whose sum is σ = 16234914447360. Its totient is φ = 747424972800.

The previous prime is 3620888248301. The next prime is 3620888248339. The reversal of 3620888248320 is 238428880263.

It is a happy number.

3620888248320 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 88 + 82 + 483 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3620888248301) and next prime (3620888248339).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3620888248320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88314347500 + ... + 88314347540.

It is an arithmetic number, because the mean of its divisors is an integer number (7046403840).

Almost surely, 2^{3620888248320} is an apocalyptic number.

3620888248320 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 3620888248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117457223680).

3620888248320 is an abundant number, since it is smaller than the sum of its proper divisors (12614026199040).

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

3620888248320 is an equidigital number, since it uses as much as digits as its factorization.

3620888248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 3620888248320 in words is "three trillion, six hundred twenty billion, eight hundred eighty-eight million, two hundred forty-eight thousand, three hundred twenty".