3652196901120 has 216 divisors, whose sum is σ = 12679359592536. Its totient is φ = 970594320384.

The previous prime is 3652196901043. The next prime is 3652196901137. The reversal of 3652196901120 is 211096912563.

3652196901120 is a `hidden beast` number, since 3 + 6 + 521 + 9 + 6 + 9 + 0 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 517087551744 + 3135109349376 = 719088^2 + 1770624^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2834352 + ... + 3916368.

Almost surely, 2^{3652196901120} is an apocalyptic number.

3652196901120 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 3652196901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339679796268).

3652196901120 is an abundant number, since it is smaller than the sum of its proper divisors (9027162691416).

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

3652196901120 is a wasteful number, since it uses less digits than its factorization.

3652196901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082337 (or 1082320 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 3652196901120 in words is "three trillion, six hundred fifty-two billion, one hundred ninety-six million, nine hundred one thousand, one hundred twenty".