3706216320 has 384 divisors, whose sum is σ = 12792880800. Its totient is φ = 911933440.

The previous prime is 3706216313. The next prime is 3706216369. The reversal of 3706216320 is 236126073.

3706216320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 41642836 + ... + 41642924.

Almost surely, 2^3706216320 is an apocalyptic number.

3706216320 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 3706216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396440400).

3706216320 is an abundant number, since it is smaller than the sum of its proper divisors (9086664480).

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

3706216320 is a wasteful number, since it uses less digits than its factorization.

3706216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3706216320 is about 60878.7016944350. The cubic root of 3706216320 is about 1547.5460747337.

The spelling of 3706216320 in words is "three billion, seven hundred six million, two hundred sixteen thousand, three hundred twenty".