3506429399640 has 256 divisors, whose sum is σ = 11286418590720. Its totient is φ = 868384849920.

The previous prime is 3506429399591. The next prime is 3506429399677. The reversal of 3506429399640 is 469939246053.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 59014027 + ... + 59073413.

It is an arithmetic number, because the mean of its divisors is an integer number (44087572620).

Almost surely, 2^{3506429399640} is an apocalyptic number.

3506429399640 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 3506429399640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643209295360).

3506429399640 is an abundant number, since it is smaller than the sum of its proper divisors (7779989191080).

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

3506429399640 is a wasteful number, since it uses less digits than its factorization.

3506429399640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59802 (or 59798 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 60.

The spelling of 3506429399640 in words is "three trillion, five hundred six billion, four hundred twenty-nine million, three hundred ninety-nine thousand, six hundred forty".