3996261360 has 640 divisors, whose sum is σ = 17218897920. Its totient is φ = 839808000.

The previous prime is 3996261343. The next prime is 3996261361. The reversal of 3996261360 is 631626993.

It is a happy number.

3996261360 is a `hidden beast` number, since 3 + 9 + 9 + 626 + 13 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996261361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15921235 + ... + 15921485.

It is an arithmetic number, because the mean of its divisors is an integer number (26904528).

Almost surely, 2^3996261360 is an apocalyptic number.

3996261360 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 3996261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609448960).

3996261360 is an abundant number, since it is smaller than the sum of its proper divisors (13222636560).

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

3996261360 is a wasteful number, since it uses less digits than its factorization.

3996261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3996261360 is about 63215.9897494297. The cubic root of 3996261360 is about 1586.9063377172.

It can be divided in two parts, 3996 and 261360, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 3996261360 in words is "three billion, nine hundred ninety-six million, two hundred sixty-one thousand, three hundred sixty".