3777414480 has 320 divisors, whose sum is σ = 15351398400. Its totient is φ = 835453440.

The previous prime is 3777414469. The next prime is 3777414533. The reversal of 3777414480 is 844147773.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464691 + ... + 472749.

It is an arithmetic number, because the mean of its divisors is an integer number (47973120).

Almost surely, 2^3777414480 is an apocalyptic number.

3777414480 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 3777414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675699200).

3777414480 is an abundant number, since it is smaller than the sum of its proper divisors (11573983920).

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

3777414480 is a wasteful number, since it uses less digits than its factorization.

3777414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 3777414480 is about 61460.6742559826. The cubic root of 3777414480 is about 1557.3929829500.

The spelling of 3777414480 in words is "three billion, seven hundred seventy-seven million, four hundred fourteen thousand, four hundred eighty".