3778406400 has 288 divisors, whose sum is σ = 13234777920. Its totient is φ = 947650560.

The previous prime is 3778406399. The next prime is 3778406413. The reversal of 3778406400 is 46048773.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610477 + ... + 2611923.

It is an arithmetic number, because the mean of its divisors is an integer number (45954090).

Almost surely, 2^3778406400 is an apocalyptic number.

3778406400 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 3778406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617388960).

3778406400 is an abundant number, since it is smaller than the sum of its proper divisors (9456371520).

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

3778406400 is a wasteful number, since it uses less digits than its factorization.

3778406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3778406400 is about 61468.7432765629. The cubic root of 3778406400 is about 1557.5292908274.

The spelling of 3778406400 in words is "three billion, seven hundred seventy-eight million, four hundred six thousand, four hundred".