3765780480 has 480 divisors, whose sum is σ = 15099033600. Its totient is φ = 778567680.

The previous prime is 3765780451. The next prime is 3765780481. The reversal of 3765780480 is 840875673.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3765780480³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765780481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923421 + ... + 18923619.

It is an arithmetic number, because the mean of its divisors is an integer number (31456320).

Almost surely, 2^3765780480 is an apocalyptic number.

3765780480 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 3765780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549516800).

3765780480 is an abundant number, since it is smaller than the sum of its proper divisors (11333253120).

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

3765780480 is a wasteful number, since it uses less digits than its factorization.

3765780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 3765780480 is about 61365.9553824431. The cubic root of 3765780480 is about 1555.7924752367.

The spelling of 3765780480 in words is "three billion, seven hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".