3965284137 has 16 divisors (see below), whose sum is σ = 5305109120. Its totient is φ = 2634508800.

The previous prime is 3965284123. The next prime is 3965284151. The reversal of 3965284137 is 7314825693.

It is an interprime number because it is at equal distance from previous prime (3965284123) and next prime (3965284151).

It is not a de Polignac number, because 3965284137 - 2¹² = 3965280041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3965284177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249689 + ... + 1252857.

It is an arithmetic number, because the mean of its divisors is an integer number (331569320).

Almost surely, 2^3965284137 is an apocalyptic number.

It is an amenable number.

3965284137 is a deficient number, since it is larger than the sum of its proper divisors (1339824983).

3965284137 is a wasteful number, since it uses less digits than its factorization.

3965284137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464.

The product of its digits is 1088640, while the sum is 48.

The square root of 3965284137 is about 62970.5021180552. The cubic root of 3965284137 is about 1582.7953688491.

The spelling of 3965284137 in words is "three billion, nine hundred sixty-five million, two hundred eighty-four thousand, one hundred thirty-seven".