3675653856 has 384 divisors, whose sum is σ = 12741120000. Its totient is φ = 1030288896.

The previous prime is 3675653833. The next prime is 3675653869. The reversal of 3675653856 is 6583565763.

3675653856 is a `hidden beast` number, since 3 + 6 + 7 + 56 + 538 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23411730 + ... + 23411886.

It is an arithmetic number, because the mean of its divisors is an integer number (33180000).

Almost surely, 2^3675653856 is an apocalyptic number.

3675653856 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 3675653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370560000).

3675653856 is an abundant number, since it is smaller than the sum of its proper divisors (9065466144).

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

3675653856 is a wasteful number, since it uses less digits than its factorization.

3675653856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 3675653856 is about 60627.1709384497. The cubic root of 3675653856 is about 1543.2805000467.

The spelling of 3675653856 in words is "three billion, six hundred seventy-five million, six hundred fifty-three thousand, eight hundred fifty-six".