3640020733440 has 2560 divisors, whose sum is σ = 16571539353600. Its totient is φ = 737020477440.

The previous prime is 3640020733439. The next prime is 3640020733469. The reversal of 3640020733440 is 443370200463.

3640020733440 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 0 + 207 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 3640020733395 and 3640020733404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20335311271 + ... + 20335311449.

It is an arithmetic number, because the mean of its divisors is an integer number (6473257560).

Almost surely, 2^{3640020733440} is an apocalyptic number.

3640020733440 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 3640020733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285769676800).

3640020733440 is an abundant number, since it is smaller than the sum of its proper divisors (12931518620160).

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

3640020733440 is a wasteful number, since it uses less digits than its factorization.

3640020733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 3640020733440 in words is "three trillion, six hundred forty billion, twenty million, seven hundred thirty-three thousand, four hundred forty".