3748905600 has 384 divisors, whose sum is σ = 13623413760. Its totient is φ = 898560000.

The previous prime is 3748905557. The next prime is 3748905647. The reversal of 3748905600 is 65098473.

It is a happy number.

3748905600 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 (384).

It is a super-2 number, since 2×3748905600² = 28108586395422720000, which contains 22 as substring.

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, 13833465 + ... + 13833735.

It is an arithmetic number, because the mean of its divisors is an integer number (35477640).

Almost surely, 2^3748905600 is an apocalyptic number.

3748905600 is a gapful number since it is divisible by the number (30) 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 3748905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811706880).

3748905600 is an abundant number, since it is smaller than the sum of its proper divisors (9874508160).

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

3748905600 is a wasteful number, since it uses less digits than its factorization.

3748905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3748905600 is about 61228.3071789511. The cubic root of 3748905600 is about 1553.4651024830.

The spelling of 3748905600 in words is "three billion, seven hundred forty-eight million, nine hundred five thousand, six hundred".