3776720640 has 576 divisors, whose sum is σ = 15385531392. Its totient is φ = 766771200.

The previous prime is 3776720621. The next prime is 3776720657. The reversal of 3776720640 is 460276773.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3776720592 and 3776720601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15670920 + ... + 15671160.

It is an arithmetic number, because the mean of its divisors is an integer number (26710992).

Almost surely, 2^3776720640 is an apocalyptic number.

3776720640 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 3776720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692765696).

3776720640 is an abundant number, since it is smaller than the sum of its proper divisors (11608810752).

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

3776720640 is a wasteful number, since it uses less digits than its factorization.

3776720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 3776720640 is about 61455.0294117577. The cubic root of 3776720640 is about 1557.2976225105.

The spelling of 3776720640 in words is "three billion, seven hundred seventy-six million, seven hundred twenty thousand, six hundred forty".