3782052558000 has 480 divisors, whose sum is σ = 13310496448704. Its totient is φ = 1000857600000.

The previous prime is 3782052557999. The next prime is 3782052558001. The reversal of 3782052558000 is 8552502873.

3782052558000 is a `hidden beast` number, since 3 + 78 + 2 + 0 + 525 + 58 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3782052557999) and next prime (3782052558001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3782052558001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2088377095 + ... + 2088378905.

Almost surely, 2^{3782052558000} is an apocalyptic number.

3782052558000 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 3782052558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655248224352).

3782052558000 is an abundant number, since it is smaller than the sum of its proper divisors (9528443890704).

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

3782052558000 is a wasteful number, since it uses less digits than its factorization.

3782052558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 3782052558000 in words is "three trillion, seven hundred eighty-two billion, fifty-two million, five hundred fifty-eight thousand".