3716964450 has 288 divisors, whose sum is σ = 11075291136. Its totient is φ = 924644160.

The previous prime is 3716964443. The next prime is 3716964451. The reversal of 3716964450 is 544696173.

3716964450 is a `hidden beast` number, since 37 + 169 + 6 + 4 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3716964396 and 3716964405.

It is not an unprimeable number, because it can be changed into a prime (3716964451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13134009 + ... + 13134291.

It is an arithmetic number, because the mean of its divisors is an integer number (38455872).

Almost surely, 2^3716964450 is an apocalyptic number.

3716964450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716964450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537645568).

3716964450 is an abundant number, since it is smaller than the sum of its proper divisors (7358326686).

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

3716964450 is a wasteful number, since it uses less digits than its factorization.

3716964450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3716964450 is about 60966.9127478176. The cubic root of 3716964450 is about 1549.0406064316.

The spelling of 3716964450 in words is "three billion, seven hundred sixteen million, nine hundred sixty-four thousand, four hundred fifty".