3797950464 has 448 divisors, whose sum is σ = 14092001280. Its totient is φ = 982056960.

The previous prime is 3797950459. The next prime is 3797950469. The reversal of 3797950464 is 4640597973.

It is a happy number.

3797950464 is a `hidden beast` number, since 3 + 7 + 9 + 79 + 504 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3797950459) and next prime (3797950469).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3797950464.

It is not an unprimeable number, because it can be changed into a prime (3797950469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17031057 + ... + 17031279.

It is an arithmetic number, because the mean of its divisors is an integer number (31455360).

Almost surely, 2^3797950464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3797950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046000640).

3797950464 is an abundant number, since it is smaller than the sum of its proper divisors (10294050816).

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

3797950464 is a wasteful number, since it uses less digits than its factorization.

3797950464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3797950464 is about 61627.5138554201. The cubic root of 3797950464 is about 1560.2101492041.

The spelling of 3797950464 in words is "three billion, seven hundred ninety-seven million, nine hundred fifty thousand, four hundred sixty-four".