3706541280 has 576 divisors, whose sum is σ = 15206667840. Its totient is φ = 812187648.

The previous prime is 3706541249. The next prime is 3706541291. The reversal of 3706541280 is 821456073.

3706541280 is a `hidden beast` number, since 37 + 0 + 6 + 541 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046254 + ... + 6046866.

It is an arithmetic number, because the mean of its divisors is an integer number (26400465).

Almost surely, 2^3706541280 is an apocalyptic number.

3706541280 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 3706541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603333920).

3706541280 is an abundant number, since it is smaller than the sum of its proper divisors (11500126560).

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

3706541280 is a wasteful number, since it uses less digits than its factorization.

3706541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3706541280 is about 60881.3705496189. The cubic root of 3706541280 is about 1547.5913028794.

The spelling of 3706541280 in words is "three billion, seven hundred six million, five hundred forty-one thousand, two hundred eighty".