3633196140 has 576 divisors, whose sum is σ = 14334122880. Its totient is φ = 758661120.

The previous prime is 3633196117. The next prime is 3633196141. The reversal of 3633196140 is 416913363.

3633196140 is a `hidden beast` number, since 3 + 6 + 3 + 31 + 9 + 614 + 0 = 666.

It is a super-2 number, since 2×3633196140² = 26400228383421799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3633196095 and 3633196104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633196141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18442522 + ... + 18442718.

It is an arithmetic number, because the mean of its divisors is an integer number (24885630).

Almost surely, 2^3633196140 is an apocalyptic number.

3633196140 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 3633196140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167061440).

3633196140 is an abundant number, since it is smaller than the sum of its proper divisors (10700926740).

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

3633196140 is a wasteful number, since it uses less digits than its factorization.

3633196140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3633196140 is about 60275.9997013737. Note that the first 3 decimals coincide. The cubic root of 3633196140 is about 1537.3152948848.

Adding to 3633196140 its sum of digits (36), we get a square (3633196176 = 60276²).

The spelling of 3633196140 in words is "three billion, six hundred thirty-three million, one hundred ninety-six thousand, one hundred forty".