3652464291840 has 1248 divisors, whose sum is σ = 15806561412096. Its totient is φ = 759528161280.

The previous prime is 3652464291821. The next prime is 3652464291859. The reversal of 3652464291840 is 481924642563.

3652464291840 is a `hidden beast` number, since 3 + 6 + 52 + 464 + 2 + 91 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3652464291821) and next prime (3652464291859).

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 1190889987 + ... + 1190893053.

It is an arithmetic number, because the mean of its divisors is an integer number (12665513952).

Almost surely, 2^{3652464291840} is an apocalyptic number.

3652464291840 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 3652464291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903280706048).

3652464291840 is an abundant number, since it is smaller than the sum of its proper divisors (12154097120256).

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

3652464291840 is a wasteful number, since it uses less digits than its factorization.

3652464291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3652464291840 in words is "three trillion, six hundred fifty-two billion, four hundred sixty-four million, two hundred ninety-one thousand, eight hundred forty".