3917406480 has 240 divisors, whose sum is σ = 13381018560. Its totient is φ = 947361792.

The previous prime is 3917406457. The next prime is 3917406533. The reversal of 3917406480 is 846047193.

3917406480 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

It is a super-3 number, since 3×3917406480³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2392222 + ... + 2393858.

It is an arithmetic number, because the mean of its divisors is an integer number (55754244).

Almost surely, 2^3917406480 is an apocalyptic number.

3917406480 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 3917406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690509280).

3917406480 is an abundant number, since it is smaller than the sum of its proper divisors (9463612080).

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

3917406480 is a wasteful number, since it uses less digits than its factorization.

3917406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3917406480 is about 62589.1882037145. The cubic root of 3917406480 is about 1576.3992241904.

The spelling of 3917406480 in words is "three billion, nine hundred seventeen million, four hundred six thousand, four hundred eighty".