3641701386240 has 768 divisors, whose sum is σ = 13544053286400. Its totient is φ = 926417682432.

The previous prime is 3641701386221. The next prime is 3641701386241. The reversal of 3641701386240 is 426831071463.

3641701386240 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 7 + 0 + 13 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3641701386240² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3641701386241) 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 63 ways as a sum of consecutive naturals, for example, 4152452682 + ... + 4152453558.

It is an arithmetic number, because the mean of its divisors is an integer number (17635486050).

Almost surely, 2^{3641701386240} is an apocalyptic number.

3641701386240 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 3641701386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772026643200).

3641701386240 is an abundant number, since it is smaller than the sum of its proper divisors (9902351900160).

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

3641701386240 is a wasteful number, since it uses less digits than its factorization.

3641701386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3641701386240 in words is "three trillion, six hundred forty-one billion, seven hundred one million, three hundred eighty-six thousand, two hundred forty".