3734678393856 has 528 divisors, whose sum is σ = 11930366143488. Its totient is φ = 1121137459200.

The previous prime is 3734678393801. The next prime is 3734678393857. The reversal of 3734678393856 is 6583938764373.

3734678393856 is a `hidden beast` number, since 3 + 7 + 3 + 467 + 83 + 9 + 3 + 85 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734678393857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243119616 + ... + 243134976.

Almost surely, 2^{3734678393856} is an apocalyptic number.

3734678393856 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 3734678393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965183071744).

3734678393856 is an abundant number, since it is smaller than the sum of its proper divisors (8195687749632).

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

3734678393856 is a wasteful number, since it uses less digits than its factorization.

3734678393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478 (or 15457 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 72.

The spelling of 3734678393856 in words is "three trillion, seven hundred thirty-four billion, six hundred seventy-eight million, three hundred ninety-three thousand, eight hundred fifty-six".