3779871480 has 640 divisors, whose sum is σ = 16099776000. Its totient is φ = 772623360.

The previous prime is 3779871479. The next prime is 3779871503. The reversal of 3779871480 is 841789773.

3779871480 is a `hidden beast` number, since 3 + 7 + 7 + 98 + 71 + 480 = 666.

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 159 ways as a sum of consecutive naturals, for example, 27193251 + ... + 27193389.

It is an arithmetic number, because the mean of its divisors is an integer number (25155900).

Almost surely, 2^3779871480 is an apocalyptic number.

3779871480 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 3779871480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049888000).

3779871480 is an abundant number, since it is smaller than the sum of its proper divisors (12319904520).

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

3779871480 is a wasteful number, since it uses less digits than its factorization.

3779871480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 3779871480 is about 61480.6593978952. The cubic root of 3779871480 is about 1557.7305758753.

It can be divided in two parts, 37798 and 71480, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 3779871480 in words is "three billion, seven hundred seventy-nine million, eight hundred seventy-one thousand, four hundred eighty".