3817386720 has 288 divisors, whose sum is σ = 15764269248. Its totient is φ = 821182464.

The previous prime is 3817386697. The next prime is 3817386733. The reversal of 3817386720 is 276837183.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160222 + ... + 182498.

It is an arithmetic number, because the mean of its divisors is an integer number (54737046).

Almost surely, 2^3817386720 is an apocalyptic number.

3817386720 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 3817386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882134624).

3817386720 is an abundant number, since it is smaller than the sum of its proper divisors (11946882528).

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

3817386720 is a wasteful number, since it uses less digits than its factorization.

3817386720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22322 (or 22311 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3817386720 is about 61785.0040058265. The cubic root of 3817386720 is about 1562.8671139094.

The spelling of 3817386720 in words is "three billion, eight hundred seventeen million, three hundred eighty-six thousand, seven hundred twenty".