3746181600 has 432 divisors, whose sum is σ = 15209026560. Its totient is φ = 849945600.

The previous prime is 3746181581. The next prime is 3746181619. The reversal of 3746181600 is 61816473.

3746181600 is a `hidden beast` number, since 3 + 7 + 46 + 1 + 8 + 1 + 600 = 666.

3746181600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3746181581) and next prime (3746181619).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12045445 + ... + 12045755.

It is an arithmetic number, because the mean of its divisors is an integer number (35206080).

Almost surely, 2^3746181600 is an apocalyptic number.

3746181600 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 3746181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

3746181600 is an abundant number, since it is smaller than the sum of its proper divisors (11462844960).

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

3746181600 is a wasteful number, since it uses less digits than its factorization.

3746181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3746181600 is about 61206.0585236462. The cubic root of 3746181600 is about 1553.0887558257.

The spelling of 3746181600 in words is "three billion, seven hundred forty-six million, one hundred eighty-one thousand, six hundred".