3965015040 has 176 divisors, whose sum is σ = 14493939072. Its totient is φ = 906264576.

The previous prime is 3965015029. The next prime is 3965015051. The reversal of 3965015040 is 405105693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3965015029) and next prime (3965015051).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3965014992 and 3965015010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89082 + ... + 125958.

Almost surely, 2^3965015040 is an apocalyptic number.

3965015040 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 3965015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246969536).

3965015040 is an abundant number, since it is smaller than the sum of its proper divisors (10528924032).

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

3965015040 is a wasteful number, since it uses less digits than its factorization.

3965015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36912 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 3965015040 is about 62968.3653908850. The cubic root of 3965015040 is about 1582.7595635023.

The spelling of 3965015040 in words is "three billion, nine hundred sixty-five million, fifteen thousand, forty".