3682761600 has 288 divisors, whose sum is σ = 14112322200. Its totient is φ = 841666560.

The previous prime is 3682761581. The next prime is 3682761611. The reversal of 3682761600 is 61672863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466486 + ... + 474314.

Almost surely, 2^3682761600 is an apocalyptic number.

3682761600 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 3682761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056161100).

3682761600 is an abundant number, since it is smaller than the sum of its proper divisors (10429560600).

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

3682761600 is a wasteful number, since it uses less digits than its factorization.

3682761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3682761600 is about 60685.7610976413. The cubic root of 3682761600 is about 1544.2746251911.

The spelling of 3682761600 in words is "three billion, six hundred eighty-two million, seven hundred sixty-one thousand, six hundred".