3652078752 has 480 divisors, whose sum is σ = 13051551744. Its totient is φ = 979776000.

The previous prime is 3652078697. The next prime is 3652078757. The reversal of 3652078752 is 2578702563.

3652078752 is a `hidden beast` number, since 3 + 6 + 520 + 78 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3652078698 and 3652078707.

It is not an unprimeable number, because it can be changed into a prime (3652078757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24185877 + ... + 24186027.

Almost surely, 2^3652078752 is an apocalyptic number.

3652078752 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 3652078752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525775872).

3652078752 is an abundant number, since it is smaller than the sum of its proper divisors (9399472992).

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

3652078752 is a wasteful number, since it uses less digits than its factorization.

3652078752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3652078752 is about 60432.4312931393. The cubic root of 3652078752 is about 1539.9739625665.

The spelling of 3652078752 in words is "three billion, six hundred fifty-two million, seventy-eight thousand, seven hundred fifty-two".