3746536597440 has 2016 divisors, whose sum is σ = 17140543580160. Its totient is φ = 771655901184.

The previous prime is 3746536597423. The next prime is 3746536597451. The reversal of 3746536597440 is 447956356473.

It is a happy number.

3746536597440 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 5 + 36 + 597 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3746536597440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2129923281 + ... + 2129925039.

It is an arithmetic number, because the mean of its divisors is an integer number (8502253760).

Almost surely, 2^{3746536597440} is an apocalyptic number.

3746536597440 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 3746536597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570271790080).

3746536597440 is an abundant number, since it is smaller than the sum of its proper divisors (13394006982720).

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

3746536597440 is a wasteful number, since it uses less digits than its factorization.

3746536597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 3746536597440 in words is "three trillion, seven hundred forty-six billion, five hundred thirty-six million, five hundred ninety-seven thousand, four hundred forty".