3747822720 has 256 divisors, whose sum is σ = 12734496000. Its totient is φ = 934281216.

The previous prime is 3747822719. The next prime is 3747822763. The reversal of 3747822720 is 272287473.

3747822720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495072 + ... + 6495648.

It is an arithmetic number, because the mean of its divisors is an integer number (49744125).

Almost surely, 2^3747822720 is an apocalyptic number.

3747822720 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 3747822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367248000).

3747822720 is an abundant number, since it is smaller than the sum of its proper divisors (8986673280).

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

3747822720 is a wasteful number, since it uses less digits than its factorization.

3747822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 3747822720 is about 61219.4635716453. The cubic root of 3747822720 is about 1553.3155140905.

The spelling of 3747822720 in words is "three billion, seven hundred forty-seven million, eight hundred twenty-two thousand, seven hundred twenty".