3782073600 has 432 divisors, whose sum is σ = 14218881600. Its totient is φ = 983162880.

The previous prime is 3782073527. The next prime is 3782073611. The reversal of 3782073600 is 63702873.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 7430146 + ... + 7430654.

Almost surely, 2^3782073600 is an apocalyptic number.

3782073600 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 3782073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109440800).

3782073600 is an abundant number, since it is smaller than the sum of its proper divisors (10436808000).

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

3782073600 is a wasteful number, since it uses less digits than its factorization.

3782073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3782073600 is about 61498.5658369364. The cubic root of 3782073600 is about 1558.0330238759.

The spelling of 3782073600 in words is "three billion, seven hundred eighty-two million, seventy-three thousand, six hundred".