3673889856 has 1008 divisors, whose sum is σ = 15177576960. Its totient is φ = 836075520.

The previous prime is 3673889831. The next prime is 3673889861. The reversal of 3673889856 is 6589883763.

3673889856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

Its product of digits (52254720) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3673889793 and 3673889802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118512561 + ... + 118512591.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^3673889856 is an apocalyptic number.

3673889856 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 3673889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3673889856 is an abundant number, since it is smaller than the sum of its proper divisors (11503687104).

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

3673889856 is a wasteful number, since it uses less digits than its factorization.

3673889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 3673889856 is about 60612.6212599323. The cubic root of 3673889856 is about 1543.0335795873.

The spelling of 3673889856 in words is "three billion, six hundred seventy-three million, eight hundred eighty-nine thousand, eight hundred fifty-six".