3706311038976 has 864 divisors, whose sum is σ = 13376262201120. Its totient is φ = 962713092096.

The previous prime is 3706311038951. The next prime is 3706311039023. The reversal of 3706311038976 is 6798301136073.

3706311038976 is a `hidden beast` number, since 370 + 63 + 110 + 38 + 9 + 76 = 666.

It is a super-2 number, since 2×3706311038976² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27053365180 + ... + 27053365316.

It is an arithmetic number, because the mean of its divisors is an integer number (15481784955).

Almost surely, 2^{3706311038976} is an apocalyptic number.

3706311038976 is a gapful number since it is divisible by the number (36) 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 3706311038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688131100560).

3706311038976 is an abundant number, since it is smaller than the sum of its proper divisors (9669951162144).

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

3706311038976 is a wasteful number, since it uses less digits than its factorization.

3706311038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3706311038976 in words is "three trillion, seven hundred six billion, three hundred eleven million, thirty-eight thousand, nine hundred seventy-six".