3736448352 has 720 divisors, whose sum is σ = 14404908672. Its totient is φ = 940584960.

The previous prime is 3736448333. The next prime is 3736448357. The reversal of 3736448352 is 2538446373.

It is a super-2 number, since 2×3736448352² = 27922092574327031808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3736448298 and 3736448307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736448357) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51184188 + ... + 51184260.

Almost surely, 2^3736448352 is an apocalyptic number.

3736448352 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 3736448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202454336).

3736448352 is an abundant number, since it is smaller than the sum of its proper divisors (10668460320).

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

3736448352 is a wasteful number, since it uses less digits than its factorization.

3736448352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3736448352 is about 61126.4946811119. The cubic root of 3736448352 is about 1551.7425220295.

The spelling of 3736448352 in words is "three billion, seven hundred thirty-six million, four hundred forty-eight thousand, three hundred fifty-two".