3682121472 has 162 divisors, whose sum is σ = 10976574336. Its totient is φ = 1187066880.

The previous prime is 3682121449. The next prime is 3682121491. The reversal of 3682121472 is 2741212863.

It is a happy number.

3682121472 is a `hidden beast` number, since 3 + 68 + 2 + 121 + 472 = 666.

3682121472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2213313 + ... + 2214975.

Almost surely, 2^3682121472 is an apocalyptic number.

3682121472 is a gapful number since it is divisible by the number (32) 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 3682121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488287168).

3682121472 is an abundant number, since it is smaller than the sum of its proper divisors (7294452864).

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

3682121472 is a wasteful number, since it uses less digits than its factorization.

3682121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1699 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3682121472 is about 60680.4867482126. The cubic root of 3682121472 is about 1544.1851460796.

The spelling of 3682121472 in words is "three billion, six hundred eighty-two million, one hundred twenty-one thousand, four hundred seventy-two".