3672126720 has 216 divisors, whose sum is σ = 12795374592. Its totient is φ = 972288000.

The previous prime is 3672126719. The next prime is 3672126721. The reversal of 3672126720 is 276212763.

It is a happy number.

3672126720 is a `hidden beast` number, since 367 + 212 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3672126719) and next prime (3672126721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672126721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1738465 + ... + 1740575.

Almost surely, 2^3672126720 is an apocalyptic number.

3672126720 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 3672126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397687296).

3672126720 is an abundant number, since it is smaller than the sum of its proper divisors (9123247872).

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

3672126720 is a wasteful number, since it uses less digits than its factorization.

3672126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3672126720 is about 60598.0752169572. The cubic root of 3672126720 is about 1542.7867010755.

The spelling of 3672126720 in words is "three billion, six hundred seventy-two million, one hundred twenty-six thousand, seven hundred twenty".