3483697649760 has 576 divisors, whose sum is σ = 12671523131904. Its totient is φ = 903285043200.

The previous prime is 3483697649753. The next prime is 3483697649767. The reversal of 3483697649760 is 679467963843.

3483697649760 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 6 + 9 + 76 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3483697649753) and next prime (3483697649767).

It is a super-2 number, since 2×3483697649760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483697649767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495755367 + ... + 495762393.

It is an arithmetic number, because the mean of its divisors is an integer number (21999172104).

Almost surely, 2^{3483697649760} is an apocalyptic number.

3483697649760 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 3483697649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335761565952).

3483697649760 is an abundant number, since it is smaller than the sum of its proper divisors (9187825482144).

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

3483697649760 is a wasteful number, since it uses less digits than its factorization.

3483697649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 3483697649760 in words is "three trillion, four hundred eighty-three billion, six hundred ninety-seven million, six hundred forty-nine thousand, seven hundred sixty".