3706813440 has 528 divisors, whose sum is σ = 14346948096. Its totient is φ = 877363200.

The previous prime is 3706813393. The next prime is 3706813463. The reversal of 3706813440 is 443186073.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3706813395 and 3706813404.

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, 35988429 + ... + 35988531.

Almost surely, 2^3706813440 is an apocalyptic number.

3706813440 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 3706813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173474048).

3706813440 is an abundant number, since it is smaller than the sum of its proper divisors (10640134656).

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

3706813440 is a wasteful number, since it uses less digits than its factorization.

3706813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3706813440 is about 60883.6056750912. The cubic root of 3706813440 is about 1547.6291802525.

The spelling of 3706813440 in words is "three billion, seven hundred six million, eight hundred thirteen thousand, four hundred forty".