3770879616 has 512 divisors, whose sum is σ = 13800844800. Its totient is φ = 989134848.

The previous prime is 3770879603. The next prime is 3770879641. The reversal of 3770879616 is 6169780773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21796906 + ... + 21797078.

It is an arithmetic number, because the mean of its divisors is an integer number (26954775).

Almost surely, 2^3770879616 is an apocalyptic number.

3770879616 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 3770879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900422400).

3770879616 is an abundant number, since it is smaller than the sum of its proper divisors (10029965184).

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

3770879616 is a wasteful number, since it uses less digits than its factorization.

3770879616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 3770879616 is about 61407.4882730111. The cubic root of 3770879616 is about 1556.4943766041.

The spelling of 3770879616 in words is "three billion, seven hundred seventy million, eight hundred seventy-nine thousand, six hundred sixteen".