3837496349664 has 288 divisors, whose sum is σ = 12179234916576. Its totient is φ = 1184181534720.

The previous prime is 3837496349651. The next prime is 3837496349689. The reversal of 3837496349664 is 4669436947383.

3837496349664 is a `hidden beast` number, since 3 + 8 + 3 + 74 + 9 + 6 + 3 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3837496349592 and 3837496349601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7825764 + ... + 8301660.

It is an arithmetic number, because the mean of its divisors is an integer number (42289010127).

Almost surely, 2^{3837496349664} is an apocalyptic number.

3837496349664 is a gapful number since it is divisible by the number (34) 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 3837496349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089617458288).

3837496349664 is an abundant number, since it is smaller than the sum of its proper divisors (8341738566912).

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

3837496349664 is a wasteful number, since it uses less digits than its factorization.

3837496349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476000 (or 475980 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 3837496349664 in words is "three trillion, eight hundred thirty-seven billion, four hundred ninety-six million, three hundred forty-nine thousand, six hundred sixty-four".