387526343040 has 320 divisors, whose sum is σ = 1397381974560. Its totient is φ = 102335643648.

The previous prime is 387526343011. The next prime is 387526343041. The reversal of 387526343040 is 40343625783.

387526343040 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 2 + 634 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387526343041) 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 39 ways as a sum of consecutive naturals, for example, 5303232 + ... + 5375808.

Almost surely, 2^387526343040 is an apocalyptic number.

387526343040 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 387526343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698690987280).

387526343040 is an abundant number, since it is smaller than the sum of its proper divisors (1009855631520).

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

387526343040 is a wasteful number, since it uses less digits than its factorization.

387526343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72711 (or 72690 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 387526343040 in words is "three hundred eighty-seven billion, five hundred twenty-six million, three hundred forty-three thousand, forty".