3746856522240 has 960 divisors, whose sum is σ = 14313500064864. Its totient is φ = 900128047104.

The previous prime is 3746856522197. The next prime is 3746856522289. The reversal of 3746856522240 is 422256586473.

3746856522240 is a `hidden beast` number, since 3 + 7 + 4 + 68 + 56 + 522 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 303486402816 + 3443370119424 = 550896^2 + 1855632^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3746856522240² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3698771974 + ... + 3698772986.

Almost surely, 2^{3746856522240} is an apocalyptic number.

3746856522240 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 3746856522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156750032432).

3746856522240 is an abundant number, since it is smaller than the sum of its proper divisors (10566643542624).

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

3746856522240 is a wasteful number, since it uses less digits than its factorization.

3746856522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3746856522240 in words is "three trillion, seven hundred forty-six billion, eight hundred fifty-six million, five hundred twenty-two thousand, two hundred forty".