3969181440 has 432 divisors, whose sum is σ = 16285022208. Its totient is φ = 906743808.

The previous prime is 3969181427. The next prime is 3969181457. The reversal of 3969181440 is 441819693.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2176369 + ... + 2178191.

Almost surely, 2^3969181440 is an apocalyptic number.

3969181440 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 3969181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142511104).

3969181440 is an abundant number, since it is smaller than the sum of its proper divisors (12315840768).

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

3969181440 is an equidigital number, since it uses as much as digits as its factorization.

3969181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3969181440 is about 63001.4399835432. The cubic root of 3969181440 is about 1583.3137523217.

The spelling of 3969181440 in words is "three billion, nine hundred sixty-nine million, one hundred eighty-one thousand, four hundred forty".