3765034027980 has 240 divisors, whose sum is σ = 12265086468096. Its totient is φ = 965801439360.

The previous prime is 3765034027967. The next prime is 3765034028009. The reversal of 3765034027980 is 897204305673.

3765034027980 is a `hidden beast` number, since 3 + 7 + 6 + 503 + 40 + 2 + 7 + 98 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8162277 + ... + 8611203.

Almost surely, 2^{3765034027980} is an apocalyptic number.

3765034027980 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 3765034027980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132543234048).

3765034027980 is an abundant number, since it is smaller than the sum of its proper divisors (8500052440116).

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

3765034027980 is a wasteful number, since it uses less digits than its factorization.

3765034027980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449146 (or 449135 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3765034027980 in words is "three trillion, seven hundred sixty-five billion, thirty-four million, twenty-seven thousand, nine hundred eighty".