3813907680 has 480 divisors, whose sum is σ = 15174770688. Its totient is φ = 893721600.

The previous prime is 3813907651. The next prime is 3813907693. The reversal of 3813907680 is 867093183.

It is a happy number.

3813907680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3813907680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4418929 + ... + 4419791.

Almost surely, 2^3813907680 is an apocalyptic number.

3813907680 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 3813907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587385344).

3813907680 is an abundant number, since it is smaller than the sum of its proper divisors (11360863008).

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

3813907680 is a wasteful number, since it uses less digits than its factorization.

3813907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3813907680 is about 61756.8431835695. The cubic root of 3813907680 is about 1562.3921878038.

The spelling of 3813907680 in words is "three billion, eight hundred thirteen million, nine hundred seven thousand, six hundred eighty".