3376153424820 has 576 divisors, whose sum is σ = 11167402498560. Its totient is φ = 760979957760.

The previous prime is 3376153424759. The next prime is 3376153424837. The reversal of 3376153424820 is 284243516733.

It is a super-2 number, since 2×3376153424820² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3376153424820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3268299024 + ... + 3268300056.

It is an arithmetic number, because the mean of its divisors is an integer number (19387851560).

Almost surely, 2^{3376153424820} is an apocalyptic number.

3376153424820 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 3376153424820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583701249280).

3376153424820 is an abundant number, since it is smaller than the sum of its proper divisors (7791249073740).

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

3376153424820 is a wasteful number, since it uses less digits than its factorization.

3376153424820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 3376153424820 in words is "three trillion, three hundred seventy-six billion, one hundred fifty-three million, four hundred twenty-four thousand, eight hundred twenty".