3134724503040 has 640 divisors, whose sum is σ = 12622517107200. Its totient is φ = 731008696320.

The previous prime is 3134724503023. The next prime is 3134724503063. The reversal of 3134724503040 is 403054274313.

3134724503040 is a `hidden beast` number, since 3 + 1 + 347 + 2 + 4 + 5 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 3134724502986 and 3134724503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16980835 + ... + 17164445.

It is an arithmetic number, because the mean of its divisors is an integer number (19722682980).

Almost surely, 2^{3134724503040} is an apocalyptic number.

3134724503040 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 3134724503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311258553600).

3134724503040 is an abundant number, since it is smaller than the sum of its proper divisors (9487792604160).

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

3134724503040 is a wasteful number, since it uses less digits than its factorization.

3134724503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183675 (or 183653 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 3134724503040 its reverse (403054274313), we get a palindrome (3537778777353).

The spelling of 3134724503040 in words is "three trillion, one hundred thirty-four billion, seven hundred twenty-four million, five hundred three thousand, forty".