3764134952040 has 128 divisors (see below), whose sum is σ = 11527294187520. Its totient is φ = 983077536000.

The previous prime is 3764134952033. The next prime is 3764134952093. The reversal of 3764134952040 is 402594314673.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176394 + ... + 2749433.

It is an arithmetic number, because the mean of its divisors is an integer number (90056985840).

Almost surely, 2^{3764134952040} is an apocalyptic number.

3764134952040 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 3764134952040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763647093760).

3764134952040 is an abundant number, since it is smaller than the sum of its proper divisors (7763159235480).

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

3764134952040 is a wasteful number, since it uses less digits than its factorization.

3764134952040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926063 (or 2926059 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

It can be divided in two parts, 3764134 and 952040, that added together give a palindrome (4716174).

The spelling of 3764134952040 in words is "three trillion, seven hundred sixty-four billion, one hundred thirty-four million, nine hundred fifty-two thousand, forty".