3672497556 has 360 divisors, whose sum is σ = 12581243136. Its totient is φ = 909480960.

The previous prime is 3672497533. The next prime is 3672497557. The reversal of 3672497556 is 6557942763.

3672497556 is a `hidden beast` number, since 3 + 67 + 24 + 9 + 7 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672497557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8520661 + ... + 8521091.

Almost surely, 2^3672497556 is an apocalyptic number.

3672497556 is a gapful number since it is divisible by the number (36) 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 3672497556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290621568).

3672497556 is an abundant number, since it is smaller than the sum of its proper divisors (8908745580).

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

3672497556 is a wasteful number, since it uses less digits than its factorization.

3672497556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 473 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 3672497556 is about 60601.1349398673. The cubic root of 3672497556 is about 1542.8386329790.

The spelling of 3672497556 in words is "three billion, six hundred seventy-two million, four hundred ninety-seven thousand, five hundred fifty-six".