3249148201680 has 80 divisors (see below), whose sum is σ = 10072606811904. Its totient is φ = 866418240000.

The previous prime is 3249148201591. The next prime is 3249148201709. The reversal of 3249148201680 is 861028419423.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11257737 + ... + 11542743.

Almost surely, 2^{3249148201680} is an apocalyptic number.

3249148201680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3249148201680 is an abundant number, since it is smaller than the sum of its proper divisors (6823458610224).

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

3249148201680 is a wasteful number, since it uses less digits than its factorization.

3249148201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332524 (or 332518 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 3249148201680 in words is "three trillion, two hundred forty-nine billion, one hundred forty-eight million, two hundred one thousand, six hundred eighty".