3507101245440 has 2240 divisors, whose sum is σ = 14536251620352. Its totient is φ = 802632499200.

The previous prime is 3507101245393. The next prime is 3507101245441. The reversal of 3507101245440 is 445421017053.

3507101245440 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 101 + 2 + 4 + 544 + 0 = 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 = 3507101245395 and 3507101245404.

It is not an unprimeable number, because it can be changed into a prime (3507101245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57493463010 + ... + 57493463070.

Almost surely, 2^{3507101245440} is an apocalyptic number.

3507101245440 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 3507101245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268125810176).

3507101245440 is an abundant number, since it is smaller than the sum of its proper divisors (11029150374912).

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

3507101245440 is a wasteful number, since it uses less digits than its factorization.

3507101245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 3507101245440 in words is "three trillion, five hundred seven billion, one hundred one million, two hundred forty-five thousand, four hundred forty".