3799388436480 has 4032 divisors, whose sum is σ = 18515777454720. Its totient is φ = 738421899264.

The previous prime is 3799388436449. The next prime is 3799388436491. The reversal of 3799388436480 is 846348839973.

3799388436480 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 38 + 84 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3799388436399 and 3799388436408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 80838051817 + ... + 80838051863.

It is an arithmetic number, because the mean of its divisors is an integer number (4592206710).

Almost surely, 2^{3799388436480} is an apocalyptic number.

3799388436480 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 3799388436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257888727360).

3799388436480 is an abundant number, since it is smaller than the sum of its proper divisors (14716389018240).

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

3799388436480 is a wasteful number, since it uses less digits than its factorization.

3799388436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 3799388436480 in words is "three trillion, seven hundred ninety-nine billion, three hundred eighty-eight million, four hundred thirty-six thousand, four hundred eighty".