3943178496 has 144 divisors (see below), whose sum is σ = 11806307520. Its totient is φ = 1314206208.

The previous prime is 3943178461. The next prime is 3943178507. The reversal of 3943178496 is 6948713493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3943178496³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556351 + ... + 563393.

Almost surely, 2^3943178496 is an apocalyptic number.

3943178496 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 3943178496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903153760).

3943178496 is an abundant number, since it is smaller than the sum of its proper divisors (7863129024).

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

3943178496 is an frugal number, since it uses more digits than its factorization.

3943178496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7048 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3943178496 is about 62794.7330275398. The cubic root of 3943178496 is about 1579.8486336861.

The spelling of 3943178496 in words is "three billion, nine hundred forty-three million, one hundred seventy-eight thousand, four hundred ninety-six".