3961035540 has 576 divisors, whose sum is σ = 16179609600. Its totient is φ = 794707200.

The previous prime is 3961035527. The next prime is 3961035563. The reversal of 3961035540 is 455301693.

3961035540 is a `hidden beast` number, since 3 + 9 + 6 + 103 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3961035495 and 3961035504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9022641 + ... + 9023079.

It is an arithmetic number, because the mean of its divisors is an integer number (28089600).

Almost surely, 2^3961035540 is an apocalyptic number.

3961035540 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 3961035540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089804800).

3961035540 is an abundant number, since it is smaller than the sum of its proper divisors (12218574060).

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

3961035540 is a wasteful number, since it uses less digits than its factorization.

3961035540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3961035540 is about 62936.7582577940. The cubic root of 3961035540 is about 1582.2298723582.

The spelling of 3961035540 in words is "three billion, nine hundred sixty-one million, thirty-five thousand, five hundred forty".