3772406016 has 108 divisors (see below), whose sum is σ = 11082357468. Its totient is φ = 1233702912.

The previous prime is 3772405999. The next prime is 3772406021. The reversal of 3772406016 is 6106042773.

3772406016 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 40 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2088124416 + 1684281600 = 45696^2 + 41040^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106666 + ... + 137558.

It is an arithmetic number, because the mean of its divisors is an integer number (102614421).

Almost surely, 2^3772406016 is an apocalyptic number.

3772406016 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 3772406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541178734).

3772406016 is an abundant number, since it is smaller than the sum of its proper divisors (7309951452).

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

3772406016 is a wasteful number, since it uses less digits than its factorization.

3772406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3772406016 is about 61419.9154672163. The cubic root of 3772406016 is about 1556.7043640838.

Adding to 3772406016 its reverse (6106042773), we get a palindrome (9878448789).

The spelling of 3772406016 in words is "three billion, seven hundred seventy-two million, four hundred six thousand, sixteen".