3758420736 has 432 divisors, whose sum is σ = 13184045280. Its totient is φ = 1065996288.

The previous prime is 3758420717. The next prime is 3758420767. The reversal of 3758420736 is 6370248573.

3758420736 is a `hidden beast` number, since 37 + 584 + 2 + 0 + 7 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3758420691 and 3758420700.

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, 27433660 + ... + 27433796.

Almost surely, 2^3758420736 is an apocalyptic number.

3758420736 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 3758420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592022640).

3758420736 is an abundant number, since it is smaller than the sum of its proper divisors (9425624544).

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

3758420736 is an frugal number, since it uses more digits than its factorization.

3758420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3758420736 is about 61305.9600365250. The cubic root of 3758420736 is about 1554.7782807156.

The spelling of 3758420736 in words is "three billion, seven hundred fifty-eight million, four hundred twenty thousand, seven hundred thirty-six".