3781375416 has 288 divisors, whose sum is σ = 13396350240. Its totient is φ = 938151936.

The previous prime is 3781375397. The next prime is 3781375441. The reversal of 3781375416 is 6145731873.

3781375416 is a `hidden beast` number, since 3 + 78 + 1 + 37 + 541 + 6 = 666.

3781375416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1892530 + ... + 1894526.

It is an arithmetic number, because the mean of its divisors is an integer number (46515105).

Almost surely, 2^3781375416 is an apocalyptic number.

3781375416 is a gapful number since it is divisible by the number (36) 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 3781375416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698175120).

3781375416 is an abundant number, since it is smaller than the sum of its proper divisors (9614974824).

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

3781375416 is a wasteful number, since it uses less digits than its factorization.

3781375416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2039 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 3781375416 is about 61492.8891498846. The cubic root of 3781375416 is about 1557.9371451960.

The spelling of 3781375416 in words is "three billion, seven hundred eighty-one million, three hundred seventy-five thousand, four hundred sixteen".