3706236000 has 672 divisors, whose sum is σ = 14437253376. Its totient is φ = 933120000.

The previous prime is 3706235971. The next prime is 3706236097. The reversal of 3706236000 is 6326073.

3706236000 is a `hidden beast` number, since 37 + 0 + 6 + 23 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 90395980 + ... + 90396020.

It is an arithmetic number, because the mean of its divisors is an integer number (21484008).

Almost surely, 2^3706236000 is an apocalyptic number.

3706236000 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 3706236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218626688).

3706236000 is an abundant number, since it is smaller than the sum of its proper divisors (10731017376).

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

3706236000 is an equidigital number, since it uses as much as digits as its factorization.

3706236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3706236000 is about 60878.8633271023. The cubic root of 3706236000 is about 1547.5488138842.

The spelling of 3706236000 in words is "three billion, seven hundred six million, two hundred thirty-six thousand".