3755897856 has 352 divisors, whose sum is σ = 12061906560. Its totient is φ = 1150156800.

The previous prime is 3755897833. The next prime is 3755897867. The reversal of 3755897856 is 6587985573.

3755897856 is a `hidden beast` number, since 3 + 7 + 558 + 9 + 78 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3755897793 and 3755897802.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28670911 + ... + 28671041.

It is an arithmetic number, because the mean of its divisors is an integer number (34266780).

Almost surely, 2^3755897856 is an apocalyptic number.

3755897856 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 3755897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030953280).

3755897856 is an abundant number, since it is smaller than the sum of its proper divisors (8306008704).

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

3755897856 is a wasteful number, since it uses less digits than its factorization.

3755897856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The square root of 3755897856 is about 61285.3804426472. The cubic root of 3755897856 is about 1554.4303156784.

The spelling of 3755897856 in words is "three billion, seven hundred fifty-five million, eight hundred ninety-seven thousand, eight hundred fifty-six".