3502120400640 has 864 divisors, whose sum is σ = 12858018613440. Its totient is φ = 878882586624.

The previous prime is 3502120400633. The next prime is 3502120400641. The reversal of 3502120400640 is 460040212053.

3502120400640 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 12 + 0 + 4 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×3502120400640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3502120400641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1997786004 + ... + 1997787756.

Almost surely, 2^{3502120400640} is an apocalyptic number.

3502120400640 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 3502120400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429009306720).

3502120400640 is an abundant number, since it is smaller than the sum of its proper divisors (9355898212800).

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

3502120400640 is a wasteful number, since it uses less digits than its factorization.

3502120400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3502120400640 its reverse (460040212053), we get a palindrome (3962160612693).

The spelling of 3502120400640 in words is "three trillion, five hundred two billion, one hundred twenty million, four hundred thousand, six hundred forty".