3642146519040 has 864 divisors, whose sum is σ = 13683570395040. Its totient is φ = 928617136128.

The previous prime is 3642146519027. The next prime is 3642146519051. The reversal of 3642146519040 is 409156412463.

3642146519040 is a `hidden beast` number, since 3 + 64 + 2 + 1 + 465 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1545245542 + ... + 1545247898.

It is an arithmetic number, because the mean of its divisors is an integer number (15837465735).

Almost surely, 2^{3642146519040} is an apocalyptic number.

3642146519040 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 3642146519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841785197520).

3642146519040 is an abundant number, since it is smaller than the sum of its proper divisors (10041423876000).

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

3642146519040 is an frugal number, since it uses more digits than its factorization.

3642146519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3642146519040 in words is "three trillion, six hundred forty-two billion, one hundred forty-six million, five hundred nineteen thousand, forty".