3786028646400 has 4608 divisors, whose sum is σ = 19877677747200. Its totient is φ = 687970713600.

The previous prime is 3786028646383. The next prime is 3786028646437. The reversal of 3786028646400 is 46468206873.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×3786028646400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199264665591 + ... + 199264665609.

It is an arithmetic number, because the mean of its divisors is an integer number (4313732150).

Almost surely, 2^{3786028646400} is an apocalyptic number.

3786028646400 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 3786028646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938838873600).

3786028646400 is an abundant number, since it is smaller than the sum of its proper divisors (16091649100800).

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

3786028646400 is a wasteful number, since it uses less digits than its factorization.

3786028646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3786028646400 in words is "three trillion, seven hundred eighty-six billion, twenty-eight million, six hundred forty-six thousand, four hundred".